BS3.4

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Bill Foster

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Bill Foster 12 years, 2 months ago

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Question statement

The {amount}, $X$, of {stuff} is normally distributed with mean {m}k and standard deviation {s}{units1}.

i.e. \[X \sim \operatorname{N}(\var{m},\var{s}^2)\]

Give any introductory information the student needs.

			Name	Type	Generated Value

units1	string	k Wh
upper	integer	1260
lower	integer	1040
p1	number	0.8891881988
m	integer	1150
amount	string	electricity consumption
p	number	0.8891881988
s	integer	90
stuff	string	a frozen foods warehouse each
tol	number	0.0001
prob2	number	0.1108
prob1	number	0.1108

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

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

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

Find the probability that in a particular week the {amount} is less than {lower} {units1}:

Probability = Gap 0. (to 4 decimal places)

Find the probability that in a particular week the {amount} is greater than {upper} {units1}:

Probability = Gap 1. (to 4 decimal places)

Advice

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

$\simplify[all,!collectNumbers]{P(X < {lower}) = P(Z < ({lower} -{m}) / {s}) = P(Z < {lower-m}/{s}) = 1 -P(Z < {m-lower}/{s})} = 1 -\var{p} = \var{precround(1 -p,4)}$ to 4 decimal places.

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

$\simplify[all,!collectNumbers]{P(X > {upper}) = P(Z > ({upper} -{m}) / {s}) = P(Z > {upper-m}/{s}) = 1 -P(Z < {upper-m}/{s})} = 1-\var{p1} = \var{precround(1 -p1,4)}$ to 4 decimal places.

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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
Number entry
Number entry		Hasn't run yet

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Bill Foster 12 years, 2 months ago

Error in variable testing condition

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Warning

Generated value: `string`

Parts

Gap-fill

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BS3.4

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Bill Foster 12 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: string

Parts

Gap-fill

Generated value: `string`