Brad's copy of nuExam08 - Normal Distribution

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Brad Allison 5 years, 9 months ago

Created this as a copy of nuExam08 - Normal Distribution.

Name	Status	Author	Last Modified
Calculate probabilities from a normal distribution	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:51
Probabilities from a normal distribution - Electrician	Ready to use	Julie Crowley	12/03/2024 11:38
Clodagh's copy of Calculate probabilities from a normal distribution	draft	Clodagh Carroll	10/10/2016 09:59
Julie's copy of Clodagh's copy of Calculate probabilities from a normal distribution	draft	Julie Crowley	12/03/2024 11:38
fabrizio's copy of Probabilities from a normal distribution - Electrician	draft	fabrizio iozzi	26/03/2018 09:26
Probabilities from a normal distribution - Electrician	draft	Ellen Marshall	25/08/2018 08:16
STAT7008 Calculate probabilities from a normal distribution	draft	Catherine Palmer	06/10/2018 22:02
Michael's copy of STAT7008 Calculate probabilities from a normal distribution	draft	Michael Proudman	07/12/2021 09:49
Michael's copy of Probabilities from a normal distribution - Electrician	draft	Michael Proudman	07/12/2021 09:49
Simon's copy of Clodagh's copy of Calculate probabilities from a normal distribution	draft	Simon Thomas	28/03/2019 14:50
Simon's copy of Probabilities from a normal distribution - Electrician	draft	Simon Thomas	28/03/2019 15:08
Exam08 - Normal Distribution	draft	Michael Proudman	07/12/2021 09:54
nuExam08 - Normal Distribution	draft	Michael Proudman	07/12/2021 09:54
Brad's copy of nuExam08 - Normal Distribution	draft	Brad Allison	13/06/2019 14:52
Brad's copy of nuExam08 - Normal Distribution	draft	Brad Allison	13/06/2019 15:02
Brad's copy of nuExam08 - Normal Distribution	draft	Brad Allison	13/06/2019 17:03
Probabilities from a normal distribution - Electrician	draft	Xiaodan Leng	11/07/2019 05:16

There are 45 other versions that do you not have access to.

Question statement

The salary of an electrician is normally distributed with mean £{m} and standard deviation £{s}.

Give any introductory information the student needs.

			Name	Type	Generated Value

X	number	5.5
p1	number	0.5
mu	integer	3
sd	integer	5
Z	number	0.07

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
5.5

JME function reference

Description

random(mu+0.5sd..mu+1.5*sd#10000)

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

Can an exam override the value of this variable?

Generated value: `number`

5.5

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) 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.

If one electrician is chosen at random, what is probability that this electrician earns over £{upper}?

Probability = Unnamed gap(to 2 decimal places)

Advice

(a)

Converting to $\operatorname{N}(0,1)$

$\simplify[all,!collectNumbers]{P(X > {upper}) = P(Z > ({upper} -{m}) / {s})} = P(Z>\var{zupper}) = 1-P(Z<\var{zupper})=1-\var{p1} = \var{prob2}$ to 2 decimal places.

(b)

$\simplify[all,!collectNumbers]{P({lower} < X < {upper}) = P(X < {upper})-P(X < {lower})}=P(Z<\var{zupper})-P(Z<-\var{zlower}) =\var{p1}-\var{p2} = \var{prob3}$ to 2 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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is not used in any exams.

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Brad's copy of nuExam08 - Normal Distribution

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

Brad Allison 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

Loading...

Error

Brad's copy of nuExam08 - Normal Distribution

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Brad Allison 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`