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{"name": "Assessment a) Practise using the Normal Distribution Tables", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "parts": [{"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "sortAnswers": false, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "marks": 0, "customName": "", "gaps": [{"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerFraction": false, "maxValue": "p1+tol", "allowFractions": false, "mustBeReducedPC": 0, "mustBeReduced": false, "adaptiveMarkingPenalty": 0, "precision": "3", "type": "numberentry", "showPrecisionHint": true, "unitTests": [], "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "marks": 1, "customName": "", "useCustomName": false, "precisionType": "dp", "strictPrecision": false, "precisionPartialCredit": 0, "showFeedbackIcon": true, "variableReplacements": [], "precisionMessage": "You have not given your answer to the correct precision.", "minValue": "p1-tol"}, {"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerFraction": false, "maxValue": "p2+tol", "allowFractions": false, "mustBeReducedPC": 0, "mustBeReduced": false, "adaptiveMarkingPenalty": 0, "precision": "3", "type": "numberentry", "showPrecisionHint": true, "unitTests": [], "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "marks": 1, "customName": "", "useCustomName": false, "precisionType": "dp", "strictPrecision": false, "precisionPartialCredit": 0, "showFeedbackIcon": true, "variableReplacements": [], "precisionMessage": "You have not given your answer to the correct precision.", "minValue": "p2-tol"}, {"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerFraction": false, "maxValue": "p5+tol", "allowFractions": false, "mustBeReducedPC": 0, "mustBeReduced": false, "adaptiveMarkingPenalty": 0, "precision": "3", "type": "numberentry", "showPrecisionHint": true, "unitTests": [], "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "marks": 1, "customName": "", "useCustomName": false, "precisionType": "dp", "strictPrecision": false, "precisionPartialCredit": 0, "showFeedbackIcon": true, "variableReplacements": [], "precisionMessage": "You have not given your answer to the correct precision.", "minValue": "p5-tol"}], "adaptiveMarkingPenalty": 0, "prompt": "<p>$P(Z &lt; \\var{z1}) =$&nbsp;[[0]]&nbsp; &nbsp;</p>\n<p>$P(Z &gt;\\var{z2}) =$ [[1]]</p>\n<p>$P(\\var{z5} &lt; Z &lt;\\var{z6})$ =[[2]]</p>", "showFeedbackIcon": true, "type": "gapfill", "useCustomName": false, "variableReplacements": [], "unitTests": []}, {"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "sortAnswers": false, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "marks": 0, "customName": "", "gaps": [{"showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "correctAnswerFraction": false, "maxValue": "zval1+tol2", "allowFractions": false, "mustBeReducedPC": 0, "mustBeReduced": false, "adaptiveMarkingPenalty": 0, "precision": "2", "type": "numberentry", "showPrecisionHint": true, "unitTests": [], "correctAnswerStyle": "plain", "notationStyles": ["plain", "en", "si-en"], "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "marks": 1, "customName": "", "useCustomName": false, "precisionType": "dp", "strictPrecision": false, "precisionPartialCredit": 0, "showFeedbackIcon": true, "variableReplacements": [], "precisionMessage": "You have not given your answer to the correct precision.", "minValue": "zval1-tol2"}], "adaptiveMarkingPenalty": 0, "prompt": "<p>Find the value of $z1$ where $P(Z&lt;z1) = \\var{prob1}$</p>\n<p>$z1 =$&nbsp;&nbsp;[[0]]</p>", "showFeedbackIcon": true, "type": "gapfill", "useCustomName": false, "variableReplacements": [], "unitTests": []}], "statement": "<p>Use the Standard Normal Distrbution Tables&nbsp;to answer the questions below.</p>\n<p></p>", "advice": "", "rulesets": {}, "ungrouped_variables": ["z1", "z2", "z3", "z4", "z5", "z6", "z7", "z8", "p1", "p2", "p3", "p4", "p5", "p6", "tol", "prob1", "zval1", "tol2", "prob2", "zval2", "percentage", "xlow", "mean_b", "sdev_b", "xhigh"], "extensions": ["stats"], "metadata": {"description": "<p></p>\n<p>Given a random variable $X$ &nbsp;normally distributed as $\\operatorname{N}(m,\\sigma^2)$ find probabilities $P(X \\gt a),\\; 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