// Numbas version: exam_results_page_options
{"metadata": {"licence": "None specified", "description": ""}, "question_groups": [{"name": "Q1", "pickQuestions": 1, "pickingStrategy": "all-ordered", "questions": [{"name": "Data set problem", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Sean Gardiner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2443/"}, {"name": "Thanom Shaw", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2564/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>The data set at the bottom of this page shows the results of a pregnancy test&nbsp;for {total} patients who visited a medical practice.&nbsp;</p>\n<p>Efficiently sort the data by copying it into an Excel spreadsheet and inserting a pivot table, then use this information to answer the following questions.</p>\n<p>This is one of many short videos on pivot tables that can be found online to explain the steps involved: <a href=\"http://www.youtube.com/watch?v=kMeoFIdVRA4)\" title=\"&quot;Excel Magic Trick #168: Cross Tabulation For a Survey&quot;\">\"Excel Magic Trick #168: Cross Tabulation For a Survey\"</a></p>", "advice": "", "rulesets": {}, "variables": {"ei_answers": {"name": "ei_answers", "group": "Sensitivity etc (part e)", "definition": "[(A/(A+C)*100), (D/(B+D)*100)]", "description": "", "templateType": "anything"}, "cii_answers": {"name": "cii_answers", "group": "Size of subsets (part c)", "definition": "[\n  A+B+C,\n  A\n]", "description": "", "templateType": "anything"}, "ci_ind": {"name": "ci_ind", "group": "Size of subsets (part c)", "definition": "random(0..3)", "description": "", "templateType": "anything"}, "eii_ind": {"name": "eii_ind", "group": "Sensitivity etc (part e)", "definition": "random(0..1)", "description": "", "templateType": "anything"}, "ciii_ind": {"name": "ciii_ind", "group": "Size of subsets (part c)", "definition": "random(0..5)", "description": "", "templateType": "anything"}, "di_ind": {"name": "di_ind", "group": "Probabilties (part d)", "definition": "random(0..3)", "description": "", "templateType": "anything"}, "ci_chosenanswer": {"name": "ci_chosenanswer", "group": "Size of subsets (part c)", "definition": "ci_answers[ci_ind]", "description": "", "templateType": "anything"}, "eii_chosenanswer": {"name": "eii_chosenanswer", "group": "Sensitivity etc (part e)", "definition": "eii_answers[eii_ind]", "description": "", "templateType": "anything"}, "cii_ind": {"name": "cii_ind", "group": "Size of subsets (part c)", "definition": "random(0..1)", "description": "", "templateType": "anything"}, "eii_options": {"name": "eii_options", "group": "Sensitivity etc (part e)", "definition": "[\"positive predictive value\", \"negative predictive value\"]", "description": "", "templateType": "anything"}, "eii_answers": {"name": "eii_answers", "group": "Sensitivity etc (part e)", "definition": "[A/(A+B)*100, D/(C+D)*100]", "description": "", "templateType": "anything"}, "di_options": {"name": "di_options", "group": "Probabilties (part d)", "definition": "[\n  \"is pregnant\",\n  \"tests positive\",\n  \"is not pregnant\",\n  \"tests negative\"\n]", "description": "", "templateType": "anything"}, "vlans": {"name": "vlans", "group": "Venn diagram (part b)", "definition": "map([A,C,B,D][indices(vl,l)[0]],l,['A','B','C','D'])", "description": "", "templateType": "anything"}, "diii_ind1": {"name": "diii_ind1", "group": "Probabilties (part d)", "definition": "random(0..3)", "description": "", "templateType": "anything"}, "AplusB": {"name": "AplusB", "group": "Data and part a", "definition": "random(round(total/4)..round(3*total/4))", "description": "", "templateType": "anything"}, "eiii_chosen": {"name": "eiii_chosen", "group": "Sensitivity etc (part e)", "definition": "eiii_options[eiii_ind]", "description": "", "templateType": "anything"}, "eiii_answers": {"name": "eiii_answers", "group": "Sensitivity etc (part e)", "definition": "[\n  (A/(A+C))/(B/(B+D)),\n  (C/(A+C))/(D/(B+D))\n]", "description": "", "templateType": "anything"}, "patients": {"name": "patients", "group": "Data and part a", "definition": "map(\"<td> Patient \" + string(n) + \" </td>\" + results[n-1], n, 1..total)\n", "description": "", "templateType": "anything"}, "ci_options": {"name": "ci_options", "group": "Size of subsets (part c)", "definition": "[\n  latex(\"|P|\"),\n  latex(\"|T_+|\"),\n  latex(\"\\\\left|\\\\overline\\{P\\}\\\\right|\"),\n  latex(\"\\\\left|\\\\overline\\{T_+\\}\\\\right|\")\n]", "description": "", "templateType": "anything"}, "A": {"name": "A", "group": "Data and part a", "definition": "random(round(2*AplusB/3)..AplusB-20)", "description": "<p>pregnant and positive</p>", "templateType": "anything"}, "diii_chosen2": {"name": "diii_chosen2", "group": "Probabilties (part d)", "definition": "diii_options[diii_ind2]", "description": "", "templateType": "anything"}, "diii_answer": {"name": "diii_answer", "group": "Probabilties (part d)", "definition": "100*[\n [A/(A+C),C/(A+C)],\n [B/(B+D),D/(B+D)],\n [A/(A+B),B/(A+B)],\n [C/(C+D),D/(C+D)]\n][diii_ind1][mod(diii_ind2,2)]", "description": "", "templateType": "anything"}, "cii_chosen": {"name": "cii_chosen", "group": "Size of subsets (part c)", "definition": "cii_options[cii_ind]", "description": "", "templateType": "anything"}, "di_chosen": {"name": "di_chosen", "group": "Probabilties (part d)", "definition": "di_options[di_ind]", "description": "", "templateType": "anything"}, "dii_chosen2": {"name": "dii_chosen2", "group": "Probabilties (part d)", "definition": "dii_option[dii_ind2]", "description": "", "templateType": "anything"}, "eiii_options": {"name": "eiii_options", "group": "Sensitivity etc (part e)", "definition": "[\"positive\", \"negative\"]", "description": "", "templateType": "anything"}, "ei_chosen": {"name": "ei_chosen", "group": "Sensitivity etc (part e)", "definition": "ei_options[ei_ind]", "description": "", "templateType": "anything"}, "diii_chosen1": {"name": "diii_chosen1", "group": "Probabilties (part d)", "definition": "diii_options[diii_ind1]", "description": "", "templateType": "anything"}, "di_answers": {"name": "di_answers", "group": "Probabilties (part d)", "definition": "[\n  (A+C)/total,\n  (A+B)/total,\n  (B+D)/total,\n  (C+D)/total\n]", "description": "", "templateType": "anything"}, "di_chosenanswer": {"name": "di_chosenanswer", "group": "Probabilties (part d)", "definition": "100*di_answers[di_ind]", "description": "", "templateType": "anything"}, "eiii_fraction": {"name": "eiii_fraction", "group": "Sensitivity etc (part e)", "definition": "latex(\"\\\\dfrac\\{\\\\mbox\\{probability a patient who is pregnant tests {eiii_chosen}\\}\\}\\{\\\\mbox\\{probability a patient who is not pregnant tests {eiii_chosen}\\}\\}\")", "description": "", "templateType": "anything"}, "dii_ind1": {"name": "dii_ind1", "group": "Probabilties (part d)", "definition": "random(0..3)", "description": "", "templateType": "anything"}, "ci_chosen": {"name": "ci_chosen", "group": "Size of subsets (part c)", "definition": "ci_options[ci_ind]", "description": "", "templateType": "anything"}, "vl": {"name": "vl", "group": "Venn diagram (part b)", "definition": "shuffle(['A','B','C','D'])", "description": "<p>Venn labels</p>", "templateType": "anything"}, "eiii_ind": {"name": "eiii_ind", "group": "Sensitivity etc (part e)", "definition": "random(0..1)", "description": "", "templateType": "anything"}, "D": {"name": "D", "group": "Data and part a", "definition": "CplusD-C", "description": "<p>not pregnant and not positive</p>", "templateType": "anything"}, "ci_answers": {"name": "ci_answers", "group": "Size of subsets (part c)", "definition": "[\n  A+C,\n  A+B,\n  B+D,\n  C+D\n]", "description": "", "templateType": "anything"}, "data": {"name": "data", "group": "Data and part a", "definition": "\"<table><tr>\" +\n\"<th>Patients</th><th>Condition</th><th>Test result</th></tr><tr>\" +\njoin(patients,\"</tr><tr>\") +\n\"</tr></table>\"", "description": "", "templateType": "anything"}, "dii_ind2": {"name": "dii_ind2", "group": "Probabilties (part d)", "definition": "if(dii_ind1<2,random(2,3),random(0,1))", "description": "", "templateType": "anything"}, "CplusD": {"name": "CplusD", "group": "Data and part a", "definition": "total-AplusB", "description": "", "templateType": "anything"}, "ciii_options": {"name": "ciii_options", "group": "Size of subsets (part c)", "definition": "[\n  latex(\"\\\\left|\\\\overline\\{P\\} \\\\cup T_+\\\\right|\"),\n  latex(\"\\\\left|\\\\overline\\{P\\} \\\\cap T_+\\\\right|\"),\n  latex(\"\\\\left|P \\\\cup \\\\overline\\{T_+\\}\\\\right|\"),\n  latex(\"\\\\left|P \\\\cap \\\\overline\\{T_+\\}\\\\right|\"),\n  latex(\"\\\\left|\\\\overline\\{P\\} \\\\cup \\\\overline\\{T_+\\}\\\\right|\"),\n  latex(\"\\\\left|\\\\overline\\{P\\} \\\\cap \\\\overline\\{T_+\\}\\\\right|\")\n]", "description": "", "templateType": "anything"}, "B": {"name": "B", "group": "Data and part a", "definition": "AplusB-A", "description": "<p>not pregnant and positive</p>", "templateType": "anything"}, "ei_ind": {"name": "ei_ind", "group": "Sensitivity etc (part e)", "definition": "random(0..1)", "description": "", "templateType": "anything"}, "cii_options": {"name": "cii_options", "group": "Size of subsets (part c)", "definition": "[\n  latex(\"\\\\left|P \\\\cup T_+\\\\right|\"),\n  latex(\"\\\\left|P \\\\cap T_+\\\\right|\")\n]", "description": "", "templateType": "anything"}, "dii_chosen1": {"name": "dii_chosen1", "group": "Probabilties (part d)", "definition": "dii_option[dii_ind1]", "description": "", "templateType": "anything"}, "ciii_chosen": {"name": "ciii_chosen", "group": "Size of subsets (part c)", "definition": "ciii_options[ciii_ind]", "description": "", "templateType": "anything"}, "ciii_answers": {"name": "ciii_answers", "group": "Size of subsets (part c)", "definition": "[\n  A+B+D,\n  B,\n  A+C+D,\n  C,\n  B+C+D,\n  D\n]", "description": "<p>answers still need to be added</p>", "templateType": "anything"}, "dii_option": {"name": "dii_option", "group": "Probabilties (part d)", "definition": "[\"is pregnant\",\"is not pregnant\",\"tests positive\",\"tests negative\"]", "description": "", "templateType": "anything"}, "diii_options": {"name": "diii_options", "group": "Probabilties (part d)", "definition": "[\"is pregnant\",\"is not pregnant\",\"tests positive\",\"tests negative\"]", "description": "", "templateType": "anything"}, "dii_answer": {"name": "dii_answer", "group": "Probabilties (part d)", "definition": "100/total*[\n [A,C],\n[B,D],\n  [A,B],\n  [C,D]\n][dii_ind1][mod(dii_ind2,2)]", "description": "", "templateType": "anything"}, "ciii_chosenanswer": {"name": "ciii_chosenanswer", "group": "Size of subsets (part c)", "definition": "ciii_answers[ciii_ind]", "description": "", "templateType": "anything"}, "results": {"name": "results", "group": "Data and part a", "definition": "shuffle(\n  repeat(\"<td> is pregnant </td>\"+\"<td> tested positive </td>\", A) + \n  repeat(\"<td> is not pregnant </td>\"+\"<td> tested positive </td>\", B) + \n  repeat(\"<td> is pregnant </td>\"+\"<td> tested negative </td>\", C) + \n  repeat(\"<td> is not pregnant </td>\"+\"<td> tested negative </td>\", D)\n)", "description": "", "templateType": "anything"}, "ei_chosenanswer": {"name": "ei_chosenanswer", "group": "Sensitivity etc (part e)", "definition": "ei_answers[ei_ind]", "description": "", "templateType": "anything"}, "ei_options": {"name": "ei_options", "group": "Sensitivity etc (part e)", "definition": "[\"sensitivity\", \"specificity\"]", "description": "", "templateType": "anything"}, "eiii_chosenanswer": {"name": "eiii_chosenanswer", "group": "Sensitivity etc (part e)", "definition": "eiii_answers[eiii_ind]", "description": "", "templateType": "anything"}, "diii_ind2": {"name": "diii_ind2", "group": "Probabilties (part d)", "definition": "if(diii_ind1<2,random(2,3),random(0,1))", "description": "", "templateType": "anything"}, "cii_chosenanswer": {"name": "cii_chosenanswer", "group": "Size of subsets (part c)", "definition": "cii_answers[cii_ind]", "description": "", "templateType": "anything"}, "C": {"name": "C", "group": "Data and part a", "definition": "random(20..round(CplusD/3))", "description": "<p>pregnant and not positive</p>", "templateType": "anything"}, "total": {"name": "total", "group": "Data and part a", "definition": "100*random(2..7)", "description": "", "templateType": "anything"}, "eii_chosen": {"name": "eii_chosen", "group": "Sensitivity etc (part e)", "definition": "eii_options[eii_ind]", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": "1000"}, "ungrouped_variables": [], "variable_groups": [{"name": "Data and part a", "variables": ["total", "AplusB", "CplusD", "A", "B", "C", "D", "results", "patients", "data"]}, {"name": "Venn diagram (part b)", "variables": ["vl", "vlans"]}, {"name": "Size of subsets (part c)", "variables": ["ci_options", "ci_answers", "ci_ind", "ci_chosen", "ci_chosenanswer", "cii_options", "cii_answers", "cii_ind", "cii_chosen", "cii_chosenanswer", "ciii_options", "ciii_answers", "ciii_ind", "ciii_chosen", "ciii_chosenanswer"]}, {"name": "Probabilties (part d)", "variables": ["di_options", "di_answers", "di_ind", "di_chosen", "di_chosenanswer", "dii_option", "dii_ind1", "dii_chosen1", "dii_ind2", "dii_chosen2", "dii_answer", "diii_options", "diii_ind1", "diii_chosen1", "diii_ind2", "diii_chosen2", "diii_answer"]}, {"name": "Sensitivity etc (part e)", "variables": ["ei_options", "ei_answers", "ei_ind", "ei_chosen", "ei_chosenanswer", "eii_options", "eii_answers", "eii_ind", "eii_chosen", "eii_chosenanswer", "eiii_options", "eiii_answers", "eiii_ind", "eiii_chosen", "eiii_chosenanswer", "eiii_fraction"]}], "functions": {"venn": {"parameters": [["ab", "string"], ["a", "string"], ["b", "string"], ["rem", "string"]], "type": "html", "language": "javascript", "definition": "// This function creates the board and sets it up, then returns an\n// HTML div tag containing the board.\n\nvar x_min = -10;\nvar x_max = 10;\nvar y_min = -10;\nvar y_max = 10;\n\n// First, make the JSXGraph board.\n// The function provided by the JSXGraph extension wraps the board up in \n// a div tag so that it's easier to embed in the page.\nvar div = Numbas.extensions.jsxgraph.makeBoard('400px','400px',\n//{boundingBox: [-8,10,8,-10],\n {boundingBox: [x_min,y_max,x_max,y_min],                                           \n axis: false,\n showNavigation: false,\n grid: false\n});\n\n\n// div.board is the object created by JSXGraph, which you use to \n// manipulate elements\nvar board = div.board; \n\nvar xos = -0.5; // x-offset (anchorX:middle will not work for some reason; CSS doesn't seem to fix it)\nvar yos = 1;\n\nboard.create('circle',[[-3,0],5]);\nboard.create('circle',[[3,0],5]);\nboard.create('polygon',[[-9.5,-9.5],[-9.5,9.5],[9.5,9.5],[9.5,-9.5]],\n             {fillOpacity:0,vertices:{visible: false}});\n\nboard.create('text',[-8+xos,4+yos,'P'],{fontsize:30,strokeColor:'blue',anchorX:'left',anchorY:'top'});\nboard.create('text',[8+xos,4+yos,'T<sub>+</sub>'],{fontsize:30,strokeColor:'blue',anchorX:'left',anchorY:'top'});\n\nboard.create('text',[0+xos,0+yos,ab],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[-4.5+xos,0+yos,a],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[4.5+xos,0+yos,b],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[7+xos,-6.5+yos,rem],{fontsize:30,anchorX:'left',anchorY:'top'});\n\n\nreturn div;"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Carefully complete the following two-way table for the pregnancy test data:</p>\n<p></p>\n<table style=\"border-color: #000000; text-align: center; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td></td>\n<td style=\"text-align: center;\"><strong>pregnant</strong></td>\n<td style=\"text-align: center;\"><strong>not pregnant</strong></td>\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n</tr>\n<tr style=\"text-align: center;\">\n<td><strong>positive test</strong></td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td><strong>negative test</strong></td>\n<td>[[3]]</td>\n<td>[[4]]</td>\n<td>[[5]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td><strong>totals</strong></td>\n<td>[[6]]</td>\n<td>[[7]]</td>\n<td style=\"text-align: center;\">$\\var{total}$</td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A", "maxValue": "A", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "B", "maxValue": "B", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A+B", "maxValue": "A+B", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "C", "maxValue": "C", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "D", "maxValue": "D", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "C+D", "maxValue": "C+D", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A+C", "maxValue": "A+C", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "B+D", "maxValue": "B+D", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Let $\\,P\\,$ be the set of patients who were pregnant, and $\\,T_+\\,$ be the set of patients who tested positive.</p>\n<p>Find the values below, representing the size of each section in the Venn diagram.</p>\n<p>{venn(vl[0],vl[1],vl[2],vl[3])}</p>\n<p>$|A|=\\,$[[0]]</p>\n<p>$|B|=\\,$[[1]]</p>\n<p>$|C|=\\,$[[2]]</p>\n<p>$|D|=\\,$[[3]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans[0]", "maxValue": "vlans[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans[1]", "maxValue": "vlans[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans[2]", "maxValue": "vlans[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans[3]", "maxValue": "vlans[3]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Find the following values:</p>\n<p><em>(i)</em> $\\,\\var{ci_chosen} =$ [[0]]</p>\n<p><em>(ii)</em> $\\,\\var{cii_chosen}=$ [[1]]</p>\n<p><em>(iii)</em> $\\,\\var{ciii_chosen} =$ [[2]]</p>\n<p><em>(iv)</em>&nbsp; The expression in part <em>(iii)</em> describes the number of patients who&nbsp;&nbsp;[[3]]. That is, the number of patients who&nbsp;&nbsp;[[4]].</p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "ci_chosenanswer", "maxValue": "ci_chosenanswer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "cii_chosenanswer", "maxValue": "cii_chosenanswer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "ciii_chosenanswer", "maxValue": "ciii_chosenanswer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["were not pregnant or tested positive.", "were not pregnant and tested positive.", "were pregnant or tested negative", "were pregnant and tested negative", "were not pregnant or tested negative", "were not pregnant and tested negative"], "matrix": ["if(ciii_ind=0,1,0)", "if(ciii_ind=1,1,0)", "if(ciii_ind=2,1,0)", "if(ciii_ind=3,1,0)", "if(ciii_ind=4,1,0)", "if(ciii_ind=5,1,0)"], "distractors": ["", "", "", "", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": true, "choices": ["did not have a false negative result.", "had a false positive result.", "did not have a false positive result.", "had a false negative result.", "did not have a true positive result.", "had a true negative result."], "matrix": ["if(ciii_ind=0,1,0)", "if(ciii_ind=1,1,0)", "if(ciii_ind=2,1,0)", "if(ciii_ind=3,1,0)", "if(ciii_ind=4,1,0)", "if(ciii_ind=5,1,0)"], "distractors": ["", "", "", "", "", ""]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><em>(i)</em>&nbsp; Based on this data, the point estimate for the probability that a patient {di_chosen} is&nbsp;&nbsp;[[0]]$\\!\\%$ (correct to the nearest percentage).</p>\n<p><em>(ii)</em>&nbsp; Based on this data, the point estimate for the probability that a patient {dii_chosen1} and {dii_chosen2} is&nbsp; [[1]]$\\!\\%$ (correct to the nearest percentage).</p>\n<p><em>(iii)</em>&nbsp; Based on this data, the point estimate for the probability that a patient who {diii_chosen1} {diii_chosen2} is&nbsp;&nbsp;[[2]]$\\!\\%$ (correct to the nearest percentage).</p>\n<p>Which of the following represents this probability?</p>\n<p>[[3]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "di_chosenanswer", "maxValue": "di_chosenanswer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "dii_answer", "maxValue": "dii_answer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "diii_answer", "maxValue": "diii_answer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": "4", "showCellAnswerState": true, "choices": ["$\\boldsymbol{P}\\left(T_+\\big|P\\right)$", "$\\boldsymbol{P}\\left(\\overline{T_+}\\big|P\\right)$", "$\\boldsymbol{P}\\left(T_+\\big|\\overline{P}\\right)$", "$\\boldsymbol{P}\\left(\\overline{T_+}\\big|\\overline{P}\\right)$", "$\\boldsymbol{P}\\left(P\\big|T_+\\right)$", "$\\boldsymbol{P}\\left(\\overline{P}\\big|T_+\\right)$", "$\\boldsymbol{P}\\left(P\\big|\\overline{T_+}\\right)$", "$\\boldsymbol{P}\\left(\\overline{P}\\big|\\overline{T_+}\\right)$"], "matrix": ["if(diii_ind1=0,1,0)*if(diii_ind2=2,1,0)", "if(diii_ind1=0,1,0)*if(diii_ind2=3,1,0)", "if(diii_ind1=1,1,0)*if(diii_ind2=2,1,0)", "if(diii_ind1=1,1,0)*if(diii_ind2=3,1,0)", "if(diii_ind1=2,1,0)*if(diii_ind2=0,1,0)", "if(diii_ind1=2,1,0)*if(diii_ind2=1,1,0)", "if(diii_ind1=3,1,0)*if(diii_ind2=0,1,0)", "if(diii_ind1=3,1,0)*if(diii_ind2=1,1,0)"], "distractors": ["", "", "", "", "", "", "", ""]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p><em>(i)</em>&nbsp; Based on this data, the point estimate for the {ei_chosen} of the pregnancy test is&nbsp;&nbsp;[[0]]$\\!\\%$ (correct to the nearest percentage).</p>\n<p><em>(ii)</em>&nbsp; Based on this data, the point estimate for the {eii_chosen} of the pregnancy test is&nbsp;&nbsp;[[1]]$\\!\\%$ (correct to the nearest percentage).</p>\n<p><em>(iii)</em>&nbsp; The {eiii_chosen} likelihood ratio equals $\\,\\var{eiii_fraction}\\,$.</p>\n<p>Based on this data, the {eiii_chosen} likelihood ratio is&nbsp; [[2]]&nbsp;(correct to 2 significant figures).</p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "ei_chosenanswer", "maxValue": "ei_chosenanswer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "eii_chosenanswer", "maxValue": "eii_chosenanswer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": 0, "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "eiii_chosenanswer", "maxValue": "eiii_chosenanswer", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": false, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<hr/>\n<p>The results of the pregnancy test for {total} patients who visited a medical practice is as follows:&nbsp;</p>\n<p></p>\n<p><code>{data}</code></p>"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Q2", "pickQuestions": 1, "pickingStrategy": "random-subset", "questions": [{"name": "Complete probability tables/diagrams V1", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Sean Gardiner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2443/"}, {"name": "Thanom Shaw", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2564/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Below, you are provided with an incomplete two-way table and Venn diagram for two events $A$ and $B$.&nbsp;</p>\n<p>It is known that $\\var{prob}=\\var{prob_val}\\,$.</p>\n<p>Using the information already provided, complete both the table and diagram entries.&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"p2": {"name": "p2", "group": "Ungrouped variables", "definition": "if(p1=\"A\",\"B\",\"A\")", "description": "", "templateType": "anything"}, "v": {"name": "v", "group": "Data and part a", "definition": "safe(\"[[8]]\")", "description": "", "templateType": "anything"}, "prob": {"name": "prob", "group": "Ungrouped variables", "definition": "latex([\"\\\\boldsymbol P({p1})\",\"\\\\boldsymbol P(\\\\overline {p1})\",\"\\\\boldsymbol P({p2})\",\"\\\\boldsymbol P(\\\\overline {p2})\"][prob_ind])", "description": "", "templateType": "anything"}, "vl0": {"name": "vl0", "group": "Venn diagram (part b)", "definition": "shuffle(['X','Y','Z'])", "description": "", "templateType": "anything"}, "x3": {"name": "x3", "group": "Data and part a", "definition": "random(2..98)*m", "description": "", "templateType": "anything"}, "prob_ind": {"name": "prob_ind", "group": "Ungrouped variables", "definition": "random(0..3)", "description": "", "templateType": "anything"}, "x1": {"name": "x1", "group": "Data and part a", "definition": "random(1..x3/m-1)*m", "description": "<p>pregnant and positive</p>", "templateType": "anything"}, "y1": {"name": "y1", "group": "Data and part a", "definition": "random(1..y3/m-1)*m", "description": "<p>pregnant and not positive</p>", "templateType": "anything"}, "th": {"name": "th", "group": "Ungrouped variables", "definition": "[latex(\"{p1}\"),latex(\"\\\\overline {p1}\"),latex(\"{p2}\"),latex(\"\\\\overline {p2}\")]", "description": "", "templateType": "anything"}, "z2": {"name": "z2", "group": "Data and part a", "definition": "x2+y2", "description": "", "templateType": "anything"}, "prob_val": {"name": "prob_val", "group": "Ungrouped variables", "definition": "[x3,y3,z1,z2][prob_ind]/z3", "description": "", "templateType": "anything"}, "z3": {"name": "z3", "group": "Data and part a", "definition": "100*m", "description": "", "templateType": "anything"}, "p1": {"name": "p1", "group": "Ungrouped variables", "definition": "random(\"A\",\"B\")", "description": "", "templateType": "anything"}, "z1": {"name": "z1", "group": "Data and part a", "definition": "x1+y1", "description": "", "templateType": "anything"}, "m": {"name": "m", "group": "Data and part a", "definition": "random(2..9)", "description": "", "templateType": "anything"}, "y3": {"name": "y3", "group": "Data and part a", "definition": "z3-x3", "description": "", "templateType": "anything"}, "vlans2": {"name": "vlans2", "group": "Venn diagram (part b)", "definition": "vlans", "description": "", "templateType": "anything"}, "vlans": {"name": "vlans", "group": "Venn diagram (part b)", "definition": "map([x1,x2,y1,y2][indices(vl,l)[0]],l,['X','Y','Z','D'])", "description": "", "templateType": "anything"}, "Dpos": {"name": "Dpos", "group": "Venn diagram (part b)", "definition": "if(prob_ind<2,\n  random(2,3),\n  random(1,3)\n)", "description": "", "templateType": "anything"}, "vl2": {"name": "vl2", "group": "Venn diagram (part b)", "definition": "map(if(vl[j]=\"D\",string(vlans[3]),vl[j]),j,0..3)", "description": "", "templateType": "anything"}, "vl": {"name": "vl", "group": "Venn diagram (part b)", "definition": "vl0[0..Dpos]+[\"D\"]+vl0[Dpos..3]", "description": "<p>Venn labels</p>", "templateType": "anything"}, "y2": {"name": "y2", "group": "Data and part a", "definition": "y3-y1", "description": "<p>not pregnant and not positive</p>", "templateType": "anything"}, "x2": {"name": "x2", "group": "Data and part a", "definition": "x3-x1", "description": "<p>not pregnant and positive</p>", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": "1000"}, "ungrouped_variables": ["p1", "p2", "th", "prob_ind", "prob", "prob_val"], "variable_groups": [{"name": "Data and part a", "variables": ["m", "z3", "x3", "y3", "x1", "x2", "y1", "y2", "z1", "z2", "v"]}, {"name": "Venn diagram (part b)", "variables": ["Dpos", "vl0", "vl", "vlans", "vl2", "vlans2"]}], "functions": {"venn": {"parameters": [["ab", "string"], ["a", "string"], ["b", "string"], ["rem", "string"], ["c1", "string"], ["c2", "string"]], "type": "html", "language": "javascript", "definition": "// This function creates the board and sets it up, then returns an\n// HTML div tag containing the board.\n\nvar x_min = -10;\nvar x_max = 10;\nvar y_min = -10;\nvar y_max = 10;\n\n// First, make the JSXGraph board.\n// The function provided by the JSXGraph extension wraps the board up in \n// a div tag so that it's easier to embed in the page.\nvar div = Numbas.extensions.jsxgraph.makeBoard('400px','400px',\n//{boundingBox: [-8,10,8,-10],\n {boundingBox: [x_min,y_max,x_max,y_min],                                           \n axis: false,\n showNavigation: false,\n grid: false\n});\n\n\n// div.board is the object created by JSXGraph, which you use to \n// manipulate elements\nvar board = div.board; \n\nvar xos = -0.5; // x-offset (anchorX:middle will not work for some reason; CSS doesn't seem to fix it)\nvar yos = 1;\n\nboard.create('circle',[[-3,0],5]);\nboard.create('circle',[[3,0],5]);\nboard.create('polygon',[[-9.5,-9.5],[-9.5,9.5],[9.5,9.5],[9.5,-9.5]],\n             {fillOpacity:0,vertices:{visible: false}});\n\n// Randomly picking which label goes where: \nvar m = 2*Math.floor(Math.random() * 2)-1;\n\nboard.create('text',[-8*m+xos,4+yos,c1],{fontsize:30,anchorX:'left',anchorY:'top',strokeColor:'blue'});\nboard.create('text',[8*m+xos,4+yos,c2],{fontsize:30,anchorX:'left',anchorY:'top',strokeColor:'blue'});\n\nboard.create('text',[0+xos,0+yos,ab],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[-4.5*m+xos,0+yos,a],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[4.5*m+xos,0+yos,b],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[7+xos,-6.5+yos,rem],{fontsize:30,anchorX:'left',anchorY:'top'});\n\n\nreturn div;"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p></p>\n<table style=\"border-color: #000000; text-align: center; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td></td>\n<td style=\"text-align: center;\"><strong>$\\var{th[2]}$</strong></td>\n<td style=\"text-align: center;\"><b>$\\var{th[3]}$</b></td>\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[0]}$</strong></td>\n<td style=\"text-align: center;\">$\\var{x1}$</td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[1]}$</strong></td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n<td>[[4]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n<td>[[5]]</td>\n<td>[[6]]</td>\n<td style=\"text-align: center;\">$\\var{z3}$</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "x2", "maxValue": "x2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "x3", "maxValue": "x3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "y1", "maxValue": "y1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "y2", "maxValue": "y2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "y3", "maxValue": "y3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "z1", "maxValue": "z1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "z2", "maxValue": "z2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>{venn(vl2[0],vl2[1],vl2[2],vl2[3],p1,p2)}</p>\n<p>$|X|=\\,$[[0]]</p>\n<p>$|Y|=\\,$[[1]]</p>\n<p>$|Z|=\\,$[[2]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[0]", "maxValue": "vlans2[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[1]", "maxValue": "vlans2[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[2]", "maxValue": "vlans2[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Complete probability tables/diagrams V2", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Sean Gardiner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2443/"}, {"name": "Thanom Shaw", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2564/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Below, you are provided with an incomplete two-way table and Venn diagram for two events $A$ and $B$.&nbsp;</p>\n<p>It is known that $\\var{prob}=\\var{prob_val}\\,$.</p>\n<p>Using the information already provided, complete both the table and diagram entries.&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"Dpos": {"name": "Dpos", "group": "Venn diagram (part b)", "definition": "if(prob_ind<2,\n  random(2,3),\n  random(0,2)\n)", "description": "", "templateType": "anything"}, "m": {"name": "m", "group": "Data and part a", "definition": "random(2..9)", "description": "", "templateType": "anything"}, "v": {"name": "v", "group": "Data and part a", "definition": "safe(\"[[8]]\")", "description": "", "templateType": "anything"}, "z2": {"name": "z2", "group": "Data and part a", "definition": "x2+y2", "description": "", "templateType": "anything"}, "z3": {"name": "z3", "group": "Data and part a", "definition": "100*m", "description": "", "templateType": "anything"}, "vl": {"name": "vl", "group": "Venn diagram (part b)", "definition": "vl0[0..Dpos]+[\"D\"]+vl0[Dpos..3]", "description": "<p>Venn labels</p>", "templateType": "anything"}, "vl0": {"name": "vl0", "group": "Venn diagram (part b)", "definition": "shuffle(['X','Y','Z'])", "description": "", "templateType": "anything"}, "y2": {"name": "y2", "group": "Data and part a", "definition": "y3-y1", "description": "<p>not pregnant and not positive</p>", "templateType": "anything"}, "y1": {"name": "y1", "group": "Data and part a", "definition": "random(1..y3/m-1)*m", "description": "<p>pregnant and not positive</p>", "templateType": "anything"}, "prob_val": {"name": "prob_val", "group": "Ungrouped variables", "definition": "[x3,y3,z1,z2][prob_ind]/z3", "description": "", "templateType": "anything"}, "z1": {"name": "z1", "group": "Data and part a", "definition": "x1+y1", "description": "", "templateType": "anything"}, "y3": {"name": "y3", "group": "Data and part a", "definition": "z3-x3", "description": "", "templateType": "anything"}, "x2": {"name": "x2", "group": "Data and part a", "definition": "x3-x1", "description": "<p>not pregnant and positive</p>", "templateType": "anything"}, "p1": {"name": "p1", "group": "Ungrouped variables", "definition": "random(\"A\",\"B\")", "description": "", "templateType": "anything"}, "vl2": {"name": "vl2", "group": "Venn diagram (part b)", "definition": "map(if(vl[j]=\"D\",string(vlans[3]),vl[j]),j,0..3)", "description": "", "templateType": "anything"}, "x1": {"name": "x1", "group": "Data and part a", "definition": "random(1..x3/m-1)*m", "description": "<p>pregnant and positive</p>", "templateType": "anything"}, "vlans2": {"name": "vlans2", "group": "Venn diagram (part b)", "definition": "vlans", "description": "", "templateType": "anything"}, "x3": {"name": "x3", "group": "Data and part a", "definition": "random(2..98)*m", "description": "", "templateType": "anything"}, "p2": {"name": "p2", "group": "Ungrouped variables", "definition": "if(p1=\"A\",\"B\",\"A\")", "description": "", "templateType": "anything"}, "prob_ind": {"name": "prob_ind", "group": "Ungrouped variables", "definition": "random(0..3)", "description": "", "templateType": "anything"}, "th": {"name": "th", "group": "Ungrouped variables", "definition": "[latex(\"{p1}\"),latex(\"\\\\overline {p1}\"),latex(\"{p2}\"),latex(\"\\\\overline {p2}\")]", "description": "", "templateType": "anything"}, "vlans": {"name": "vlans", "group": "Venn diagram (part b)", "definition": "map([x1,x2,y1,y2][indices(vl,l)[0]],l,['X','Y','Z','D'])", "description": "", "templateType": "anything"}, "prob": {"name": "prob", "group": "Ungrouped variables", "definition": "latex([\"\\\\boldsymbol P({p1})\",\"\\\\boldsymbol P(\\\\overline {p1})\",\"\\\\boldsymbol P({p2})\",\"\\\\boldsymbol P(\\\\overline {p2})\"][prob_ind])", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": "1000"}, "ungrouped_variables": ["p1", "p2", "th", "prob_ind", "prob", "prob_val"], "variable_groups": [{"name": "Data and part a", "variables": ["m", "z3", "x3", "y3", "x1", "x2", "y1", "y2", "z1", "z2", "v"]}, {"name": "Venn diagram (part b)", "variables": ["Dpos", "vl0", "vl", "vlans", "vl2", "vlans2"]}], "functions": {"venn": {"parameters": [["ab", "string"], ["a", "string"], ["b", "string"], ["rem", "string"], ["c1", "string"], ["c2", "string"]], "type": "html", "language": "javascript", "definition": "// This function creates the board and sets it up, then returns an\n// HTML div tag containing the board.\n\nvar x_min = -10;\nvar x_max = 10;\nvar y_min = -10;\nvar y_max = 10;\n\n// First, make the JSXGraph board.\n// The function provided by the JSXGraph extension wraps the board up in \n// a div tag so that it's easier to embed in the page.\nvar div = Numbas.extensions.jsxgraph.makeBoard('400px','400px',\n//{boundingBox: [-8,10,8,-10],\n {boundingBox: [x_min,y_max,x_max,y_min],                                           \n axis: false,\n showNavigation: false,\n grid: false\n});\n\n\n// div.board is the object created by JSXGraph, which you use to \n// manipulate elements\nvar board = div.board; \n\nvar xos = -0.5; // x-offset (anchorX:middle will not work for some reason; CSS doesn't seem to fix it)\nvar yos = 1;\n\nboard.create('circle',[[-3,0],5]);\nboard.create('circle',[[3,0],5]);\nboard.create('polygon',[[-9.5,-9.5],[-9.5,9.5],[9.5,9.5],[9.5,-9.5]],\n             {fillOpacity:0,vertices:{visible: false}});\n\n// Randomly picking which label goes where: \nvar m = 2*Math.floor(Math.random() * 2)-1;\n\nboard.create('text',[-8*m+xos,4+yos,c1],{fontsize:30,anchorX:'left',anchorY:'top',strokeColor:'blue'});\nboard.create('text',[8*m+xos,4+yos,c2],{fontsize:30,anchorX:'left',anchorY:'top',strokeColor:'blue'});\n\nboard.create('text',[0+xos,0+yos,ab],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[-4.5*m+xos,0+yos,a],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[4.5*m+xos,0+yos,b],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[7+xos,-6.5+yos,rem],{fontsize:30,anchorX:'left',anchorY:'top'});\n\n\nreturn div;"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p></p>\n<table style=\"border-color: #000000; text-align: center; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td></td>\n<td style=\"text-align: center;\"><strong>$\\var{th[2]}$</strong></td>\n<td style=\"text-align: center;\"><b>$\\var{th[3]}$</b></td>\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[0]}$</strong></td>\n<td style=\"text-align: center;\">[[0]]</td>\n<td style=\"text-align: center;\">$\\var{x2}$</td>\n<td>[[1]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[1]}$</strong></td>\n<td>[[2]]</td>\n<td>[[3]]</td>\n<td>[[4]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n<td>[[5]]</td>\n<td>[[6]]</td>\n<td style=\"text-align: center;\">$\\var{z3}$</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "x1", "maxValue": "x1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "x3", "maxValue": "x3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "y1", "maxValue": "y1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "y2", "maxValue": "y2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "y3", "maxValue": "y3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "z1", "maxValue": "z1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": 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0, "exploreObjective": null, "prompt": "<p></p>\n<table style=\"border-color: #000000; text-align: center; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td></td>\n<td style=\"text-align: center;\"><strong>$\\var{th[2]}$</strong></td>\n<td style=\"text-align: center;\"><b>$\\var{th[3]}$</b></td>\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[0]}$</strong></td>\n<td style=\"text-align: center;\">[[0]]</td>\n<td style=\"text-align: center;\">[[1]]</td>\n<td>[[2]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[1]}$</strong></td>\n<td style=\"text-align: center;\">[[3]]</td>\n<td style=\"text-align: center;\">$\\var{y2}$</td>\n<td>[[4]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n<td>[[5]]</td>\n<td>[[6]]</td>\n<td 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"suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>{venn(vl2[0],vl2[1],vl2[2],vl2[3],p1,p2)}</p>\n<p>$|X|=\\,$[[0]]</p>\n<p>$|Y|=\\,$[[1]]</p>\n<p>$|Z|=\\,$[[2]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[0]", "maxValue": "vlans2[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[1]", "maxValue": "vlans2[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[2]", "maxValue": "vlans2[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Complete probability tables/diagrams V5", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Sean Gardiner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2443/"}, {"name": "Thanom Shaw", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2564/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Below, you are provided with an incomplete two-way table and Venn diagram for two events $A$ and $B$.&nbsp;</p>\n<p>It is known that $\\var{prob}=\\var{prob_val}\\,$.</p>\n<p>Using the information already provided, complete both the table and diagram entries.&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"y1": {"name": "y1", "group": "Data and part a", "definition": "random(1..y3/m-1)*m", "description": "<p>pregnant and not positive</p>", "templateType": "anything"}, "th": {"name": "th", "group": "Ungrouped variables", "definition": "[latex(\"{p1}\"),latex(\"\\\\overline {p1}\"),latex(\"{p2}\"),latex(\"\\\\overline {p2}\")]", "description": "", "templateType": "anything"}, "prob": {"name": "prob", "group": "Ungrouped variables", "definition": "latex([\"\\\\boldsymbol P({p1})\",\"\\\\boldsymbol P(\\\\overline {p1})\",\"\\\\boldsymbol P({p2})\",\"\\\\boldsymbol P(\\\\overline {p2})\"][prob_ind])", "description": "", "templateType": "anything"}, "z3": {"name": "z3", "group": "Data and part a", "definition": "100*m", "description": "", "templateType": "anything"}, "vl": {"name": "vl", "group": "Venn diagram (part b)", "definition": "shuffle(['X','Y','Z','D'])", "description": "<p>Venn labels</p>", "templateType": "anything"}, "y2": {"name": "y2", "group": "Data and part a", "definition": "y3-y1", "description": "<p>not pregnant and not positive</p>", "templateType": "anything"}, "p2": {"name": "p2", "group": "Ungrouped variables", "definition": "if(p1=\"A\",\"B\",\"A\")", "description": "", "templateType": "anything"}, "vl2": {"name": "vl2", "group": "Venn diagram (part b)", "definition": "map(if(vl[j]=\"D\",string(vlans[3]),vl[j]),j,0..3)", "description": "", "templateType": "anything"}, "x1": {"name": "x1", "group": "Data and part a", "definition": "random(1..x3/m-1)*m", "description": "<p>pregnant and positive</p>", "templateType": "anything"}, "vlans2": {"name": "vlans2", "group": "Venn diagram (part b)", "definition": "vlans", "description": "", "templateType": "anything"}, "p1": {"name": "p1", "group": "Ungrouped variables", 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"templateType": "anything"}, "z2": {"name": "z2", "group": "Data and part a", "definition": "x2+y2", "description": "", "templateType": "anything"}, "prob_ind": {"name": "prob_ind", "group": "Ungrouped variables", "definition": "random(2..3)", "description": "", "templateType": "anything"}, "vlans": {"name": "vlans", "group": "Venn diagram (part b)", "definition": "map([x1,x2,y1,y2][indices(vl,l)[0]],l,['X','Y','Z','D'])", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": "1000"}, "ungrouped_variables": ["p1", "p2", "th", "prob_ind", "prob", "prob_val"], "variable_groups": [{"name": "Data and part a", "variables": ["m", "z3", "x3", "y3", "x1", "x2", "y1", "y2", "z1", "z2", "v"]}, {"name": "Venn diagram (part b)", "variables": ["vl", "vlans", "vl2", "vlans2"]}], "functions": {"venn": {"parameters": [["ab", "string"], ["a", "string"], ["b", "string"], ["rem", "string"], ["c1", "string"], ["c2", "string"]], "type": "html", "language": 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"scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p></p>\n<table style=\"border-color: #000000; text-align: center; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td></td>\n<td style=\"text-align: center;\"><strong>$\\var{th[2]}$</strong></td>\n<td style=\"text-align: center;\"><b>$\\var{th[3]}$</b></td>\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[0]}$</strong></td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td style=\"text-align: center;\">$\\var{x3}$</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: 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2)-1;\n\nboard.create('text',[-8*m+xos,4+yos,c1],{fontsize:30,anchorX:'left',anchorY:'top',strokeColor:'blue'});\nboard.create('text',[8*m+xos,4+yos,c2],{fontsize:30,anchorX:'left',anchorY:'top',strokeColor:'blue'});\n\nboard.create('text',[0+xos,0+yos,ab],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[-4.5*m+xos,0+yos,a],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[4.5*m+xos,0+yos,b],{fontsize:30,anchorX:'left',anchorY:'top'});\nboard.create('text',[7+xos,-6.5+yos,rem],{fontsize:30,anchorX:'left',anchorY:'top'});\n\n\nreturn div;"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p></p>\n<table style=\"border-color: #000000; text-align: center; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr>\n<td></td>\n<td style=\"text-align: center;\"><strong>$\\var{th[2]}$</strong></td>\n<td style=\"text-align: center;\"><b>$\\var{th[3]}$</b></td>\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[0]}$</strong></td>\n<td>[[0]]</td>\n<td>[[1]]</td>\n<td>[[2]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>$\\var{th[1]}$</strong></td>\n<td>[[3]]</td>\n<td>[[4]]</td>\n<td>[[5]]</td>\n</tr>\n<tr style=\"text-align: center;\">\n<td style=\"text-align: center;\"><strong>totals</strong></td>\n<td style=\"text-align: center;\">$\\var{z1}$</td>\n<td>[[6]]</td>\n<td style=\"text-align: center;\">$\\var{z3}$</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "gaps": [{"type": 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"customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "y1", "maxValue": "y1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, 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"<p>{venn(vl2[0],vl2[1],vl2[2],vl2[3],p1,p2)}</p>\n<p>$|X|=\\,$[[0]]</p>\n<p>$|Y|=\\,$[[1]]</p>\n<p>$|Z|=\\,$[[2]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[0]", "maxValue": "vlans2[0]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[1]", "maxValue": "vlans2[1]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "vlans2[2]", "maxValue": "vlans2[2]", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Complete probability tables/diagrams V8", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Sean Gardiner", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2443/"}, {"name": "Thanom Shaw", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2564/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Below, you are provided with an incomplete two-way table and Venn diagram for two events $A$ and $B$.&nbsp;</p>\n<p>It is known that $\\var{prob}=\\var{prob_val}\\,$.</p>\n<p>Using the information already provided, complete both the table and diagram entries.&nbsp;</p>", "advice": "", "rulesets": {}, "variables": {"y1": {"name": "y1", "group": "Data and part a", "definition": "random(1..y3/m-1)*m", "description": "<p>pregnant and not positive</p>", "templateType": "anything"}, "z2": {"name": "z2", "group": "Data and part a", "definition": "x2+y2", "description": "", "templateType": "anything"}, "v": {"name": "v", "group": "Data and part a", "definition": "safe(\"[[8]]\")", "description": "", "templateType": "anything"}, "y2": {"name": "y2", "group": "Data and part a", "definition": "y3-y1", "description": "<p>not pregnant and not positive</p>", "templateType": "anything"}, "x2": {"name": "x2", "group": "Data and part a", "definition": "x3-x1", "description": "<p>not pregnant and positive</p>", "templateType": "anything"}, "prob_val": {"name": "prob_val", "group": "Ungrouped variables", "definition": 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"scripts": {}, "notationStyles": ["plain", "en", "si-en"]}, {"unitTests": [], "customName": "", "useCustomName": false, "showFeedbackIcon": true, "adaptiveMarkingPenalty": 0, "correctAnswerStyle": "plain", "mustBeReduced": false, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "showFractionHint": true, "minValue": "ans3*100", "mustBeReducedPC": 0, "variableReplacements": [], "type": "numberentry", "marks": 1, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "correctAnswerFraction": false, "allowFractions": false, "maxValue": "ans3*100", "scripts": {}, "notationStyles": ["plain", "en", "si-en"]}, {"unitTests": [], "customName": "", "precisionMessage": "You have not given your answer to the correct precision.", "useCustomName": false, "showFeedbackIcon": true, "adaptiveMarkingPenalty": 0, "showPrecisionHint": false, "mustBeReduced": false, "marks": 1, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "minValue": "v_chosenanswer", "precisionPartialCredit": 0, "mustBeReducedPC": 0, "precision": 0, "variableReplacements": [], "type": "numberentry", "precisionType": "dp", "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "strictPrecision": true, "correctAnswerFraction": false, "allowFractions": false, "maxValue": "v_chosenanswer", "correctAnswerStyle": "plain", "scripts": {}, "notationStyles": ["plain", "en", "si-en"]}], "marks": 0, "customName": "", "variableReplacementStrategy": "originalfirst", "useCustomName": false, "showFeedbackIcon": true, "showCorrectAnswer": true, "unitTests": [], "customMarkingAlgorithm": "", "adaptiveMarkingPenalty": 0, "variableReplacements": [], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "prompt": "<p><em>Note that no rounding is required for parts (i) to (iv).</em></p>\n<p><em>(i)</em> $\\,{\\boldsymbol{P}}\\left(T_+\\cap P\\right)=\\,$[[0]]$\\!\\%$</p>\n<p><em>(ii)</em> $\\,{\\boldsymbol{P}}\\left( T_+\\cap \\overline{P}\\right)=\\,$[[1]]$\\!\\%$</p>\n<p><em>(iii)</em> $\\,{\\boldsymbol{P}}\\left(T_- \\cap P\\right)=\\,$[[2]]$\\!\\%$</p>\n<p><em>(iv)</em> $\\,{\\boldsymbol{P}}\\left( T_- \\cap \\overline{P}\\right)=\\,$[[3]]$\\!\\%$</p>\n<p><em>(v)</em>&nbsp; The {v_chosen} is&nbsp; [[4]]$\\!\\%$ (correct to the nearest percent)&nbsp;</p>\n<p></p>\n<p></p>", "scripts": {}}], "preamble": {"js": "", "css": ""}, "statement": "<p>The findings of a pregnancy test are given on a website just like that of the online database referred to in the hand-in component of this assignment (www.getthediagnosis.com).</p>\n<p>In calculator mode it outputs the following post-test probabilities for pregnancy:</p>\n<ul>\n<li>$\\var{positive}\\%$ when $+$ is selected and</li>\n<li>$\\var{negative}\\%$ when $-$ is selected.</li>\n</ul>\n<p>Let $\\,T_+\\,$ be the event \"tests positive\", let $\\,T_-\\,$ be the event \"tests negative\", and let $\\,P\\,$ be the event \"is pregnant\".</p>\n<p>It is given that $\\,{\\boldsymbol{P}}\\left(T_+\\right)=\\var{Tplus}\\%\\,$.</p>\n<p>Use a tree diagram to find each of the probabilties listed below.</p>\n<p><img src=\"resources/question-resources/treediagram.png\" style=\"width: 332px; height: 322px;\" width=\"302\" height=\"293\"/></p>", "variable_groups": [], "variables": {"v_chosenanswer": {"group": "Ungrouped variables", "templateType": "anything", "name": "v_chosenanswer", "definition": "v_answers[v_ind]*100", "description": ""}, "v_options": {"group": "Ungrouped variables", "templateType": "anything", "name": "v_options", "definition": "[\"sensitivity\",\"specificity\"]", "description": ""}, "negative": {"group": "Ungrouped variables", "templateType": "anything", "name": "negative", "definition": "random(1..5)", "description": ""}, "positive": {"group": "Ungrouped variables", "templateType": "anything", "name": "positive", "definition": "random(71..89)", "description": ""}, "v_chosen": {"group": "Ungrouped variables", "templateType": "anything", "name": "v_chosen", "definition": "v_options[v_ind]", "description": ""}, "Tplus": {"group": "Ungrouped variables", "templateType": "anything", "name": "Tplus", "definition": "random(35..55)", "description": ""}, "ans1": {"group": "Ungrouped variables", "templateType": "anything", "name": "ans1", "definition": "Tplus/100*(1-positive/100)", "description": ""}, "v_ind": {"group": "Ungrouped variables", "templateType": "anything", "name": "v_ind", "definition": "random(0..1)", "description": ""}, "ans2": {"group": "Ungrouped variables", "templateType": "anything", "name": "ans2", "definition": "(1-Tplus/100)*negative/100", "description": ""}, "ans3": {"group": "Ungrouped variables", "templateType": "anything", "name": "ans3", "definition": "(1-Tplus/100)*(1-negative/100)", "description": ""}, "v_answers": {"group": "Ungrouped variables", "templateType": "anything", "name": "v_answers", "definition": "[(ans0)/(ans0+ans2),(ans3)/(ans1+ans3)]", "description": ""}, "ans0": {"group": "Ungrouped variables", "templateType": "anything", "name": "ans0", "definition": "Tplus/100*positive/100", "description": ""}}, "metadata": {"licence": "None specified", "description": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}}]}], "timing": {"allowPause": true, "timedwarning": {"message": "", "action": "none"}, "timeout": {"message": "", "action": "none"}}, "name": "Year 11 Mathematics Advanced Task 2 (Probability) - online component", "showQuestionGroupNames": false, "showstudentname": true, "navigation": {"showfrontpage": true, "browse": true, "preventleave": true, "onleave": {"message": "", "action": "none"}, "reverse": true, "allowregen": false, "startpassword": "", "showresultspage": "oncompletion"}, "feedback": {"showtotalmark": true, "showanswerstate": true, "feedbackmessages": [], "advicethreshold": 0, "intro": "<p><strong>Year 11 Mathematics Advanced Task 2 (Probability) - online component</strong></p>\n<p>You will have access to this online component up until 8:15am on Monday June 24th.</p>\n<p>In this (practice) version you can submit answers to questions or parts of questions as many times as you like and you are encouraged to keep trying until you get a green tick for each part.</p>\n<p>You can <em>pause</em> and <em>resume</em> an exam. You can also <em>end exam</em> and <em>start a new attempt </em>as many times as you like.</p>\n<p>(Under test conditions on June 24th, however, you will only be able to submit your answers once and will not get immediate feedback).</p>\n<p>You are very much encouraged to complete the online quiz with pen, a scribble sheet and a calculator by your side. Under test conditions on June 24th, one handwritten single-sided A4 pages of notes will be allowed. You will also be provided with a blank scribble sheet.</p>\n<p>Finally, in order to become familiarised with conditional probability terms in diagnostic testing, it is best to look at Questions 1 and 2 before starting the hand-in component. 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