Template 1 for Workshop

Error

There was an error loading the page.

Contributors

Julie Crowley

Feedback

From users who are members of Julie's workspace :

Julie Crowley

said

Ready to use

8 years, 10 months ago

History

○

Julie Crowley 8 years, 5 months ago

Published this.

○

Julie Crowley 8 years, 10 months ago

Gave some feedback: Ready to use

○

Julie Crowley 10 years, 4 months ago

Created this as a copy of Template 1 for Workshop.

Name	Status	Author	Last Modified
Template 1 for Workshop	Ready to use	Julie Crowley	08/10/2016 20:11
Simon's copy of Template 1 for Workshop	draft	Simon Thomas	13/05/2019 09:47

There are 10 other versions that do you not have access to.

Question statement

A survey was conducted to obtain information on {this}. A random sample of {things}s gave :

{Cats}	{At[0]}	{At[1]}	{At[2]}	Total
{cat[0]}	{r[0][0]}	{r[0][1]}	{r[0][2]}	{sumr[0]}
{cat[1]}	{r[1][0]}	{r[1][1]}	{r[1][2]}	{sumr[1]}
{cat[2]}	{r[2][0]}	{r[2][1]}	{r[2][2]}	{sumr[2]}
{cat[3]}	{r[3][0]}	{r[3][1]}	{r[3][2]}	{sumr[3]}
Totals	{tc[0]}	{tc[1]}	{tc[2]}	{tot}

Give all answers correct to 3 decimal places (not in fraction form).

Give any introductory information the student needs.

			Name	Type	Generated Value

somecat	string	widowed
ve	number	1280
othercats	string	single or married
at	list	List of 3 items
ce1	number	525
ans	list	List of 10 items
n	integer	1484
drk1	string	teetotal
things	string	male
u1	integer	0
tot	number	1484
catattrib2	string	widowed and drinking 1-20 unit
cats	string	Marital Status
tc	list	[ 479, 787, 218 ]
w1	integer	5
oneof	string	single or married
tc2	integer	787
tc3	integer	218
tc1	integer	479
catattrib1	string	married and drinking 1-20 unit
a	list	Nested 3×4 list
drkpair	string	teetotal or drinking 21+ units
this	string	alcohol consumption
cat	list	List of 4 items
we2	number	223
drk	string	drinking 1-20 units/week
r	matrix	Matrix of size 4×3
u	integer	1
t	integer	3
w	integer	5
v	integer	1
sumr	list	[ 315, 965, 127, 77 ]
ce2	number	39

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
​
    //name of category chosen using t
    cat[t]
    

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `string`

widowed

← Depends on:

→ Used by:

Advice
"Part a)" - prompt
"Part b)" - prompt
"Part c)" - prompt

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. Number entry
  Add
6. Gap Gap 5. Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Find the following probabilities that a randomly chosen {things} involved in this survey:

is {somecat}: Probability = Gap 0.
is {drk}: Probability = Gap 1.
is either {oneof}: Probability = Gap 2.
{drkpair}: Probability = Gap 3.
{catattrib1}: Probability = Gap 4.
{catattrib2}: Probability = Gap 5.

(Enter all probabilities to 3 decimal places)

Advice

1) The total number of {somecat} {things}s is $\var{sumr[t]}$ hence the probability that a random {things} from this survey is {somecat} is $\displaystyle \frac{ \var{sumr[t]}}{\var{n}}=\var{ans[0]}$ to 3 decimal places.

2) The total number of {things}s who are {drk} is $\var{tc[u]}$ hence the probability that a random {things} from this survey is {drk} is $\displaystyle \frac{ \var{tc[u]}}{\var{n}}=\var{ans[1]}$ to 3 decimal places.

3) Looking at the table there are $\var{ve}$ {things}s that are {oneof}. Hence the probability is $\displaystyle \frac{ \var{ve}}{\var{n}}=\var{ans[2]}$ to 3 decimal places.

4) These are the {things}s that are not {drk}, and hence there are $\var{n}-\var{tc[u]}=\var{n-tc[u]}$ of them (see answer to part b)), and the probability of randomly selecting one is $\displaystyle \frac{ \var{n-tc[u]}}{\var{n}}=\var{ans[3]}$ to 3 decimal places.

5)Looking at the table we see that the number corresponding to {catattrib1} is $\var{ce1}$ . Hence the probability of randomly selecting one is $\displaystyle \frac{ \var{ce1}}{\var{n}}=\var{ans[4]}$ to 3 decimal places.

6) As in the last question, looking at the table we see that the number corresponding to {catattrib2} is $\var{ce2}$ . Hence the probability of randomly selecting one is $\displaystyle \frac{ \var{ce2}}{\var{n}}=\var{ans[5]}$ to 3 decimal places.

7) We know from question a) that the probability of selecting a {somecat} {things} is, $\displaystyle \frac{ \var{sumr[t]}}{\var{n}}$ , after this we now have $\var{sumr[t]-1}$ {somecat} {things}s amongst the $\var{n-1}$ left, and the probability of yet again selecting one of these is $\displaystyle \frac{ \var{sumr[t]-1}}{\var{n-1}}$ . So the probability of selecting two is $\displaystyle \frac{ \var{sumr[t]}\times \var{sumr[t]-1}}{\var{n}\times\var{n-1}}=\var{ans[6]}$ to 3 decimal places.

8) The probability of selecting a {things} who is {drk1} is $\displaystyle \frac{ \var{tc[u1]}}{\var{n}}$ , after this we now have $\var{tc[u1]-1}$ {drk1} {things}s amongst the $\var{n-1}$ left, and the probability of yet again selecting one of these is $\displaystyle \frac{ \var{tc[u1]-1}}{\var{n-1}}$ . So the probability of selecting two is $\displaystyle \frac{ \var{tc[u1]}\times \var{tc[u1]-1}}{\var{n}\times\var{n-1}}=\var{ans[7]}$ to 3 decimal places.

9) Since there are $\var{r[t][u]}$ {somecat} {things}s from the $\var{tc[u]}$ {things}s that are {drk} the probability of selecting one is $\displaystyle \frac{\var{r[t][u]}}{\var{tc[u]}}= \var{ans[8]}$ to 3 decimal places.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julie Crowley 8 years, 5 months ago

Julie Crowley 8 years, 10 months ago

Julie Crowley 10 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `string`

Parts

Gap-fill

Loading...

Error

Template 1 for Workshop

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julie Crowley 8 years, 5 months ago

Julie Crowley 8 years, 10 months ago

Julie Crowley 10 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`