Simon's copy of Probabilities from a normal distribution - Electrician

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Simon Thomas 5 years, 11 months ago

Created this as a copy of Probabilities from a normal distribution - Electrician.

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

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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

units1	string	k Wh
upper	integer	34500
lower	integer	16500
p1	number	0.6915
m	integer	30000
s	integer	9000
zupper	decimal	dec("0.50")
p	number	0.9332
amount	string	electricity consumption
p2	number	0.0668
tol	number	0.01
zlower	decimal	dec("1.50")
stuff	string	a frozen foods warehouse each
prob2	number	0.31
prob3	number	0.62
prob1	number	0.07

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
"k Wh"

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`

k Wh

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.

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Part	Test	Passed?
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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 used in the following exam:

Probability distributions by Simon Thomas in Maths support.

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Simon's copy of Probabilities from a normal distribution - Electrician

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Taxonomy: mathcentre

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Simon Thomas 5 years, 11 months ago

Error in variable testing condition

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Generated value: `string`

Parts

Gap-fill

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Simon's copy of Probabilities from a normal distribution - Electrician

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 5 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`