Simon's copy of Probability independent

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Simon Thomas 5 years, 10 months ago

Created this as a copy of Probability independent.

Name	Status	Author	Last Modified
Probability independent	Ready to use	Julie Crowley	11/10/2016 21:32
Probability independent 2 events	draft	Julie Crowley	12/10/2016 09:24
Julie's copy of Probability independent	draft	Julie Crowley	06/02/2018 16:20
Simon's copy of Probability independent	draft	Simon Thomas	08/05/2019 12:24
Simon's copy of Simon's copy of Probability independent	draft	Simon Thomas	13/05/2019 09:26
Maria's copy of Probability independent	draft	Maria Aneiros	27/05/2019 02:42
Blathnaid's copy of Probability independent 2 events	draft	Blathnaid Sheridan	23/08/2019 17:59

There are 7 other versions that do you not have access to.

Question statement

The probability that {thing[0]} is {x}, while the probability that {thing[1]} is {y}. Assume that these two events are independent. Give all answers correct to two decimal places.

Give any introductory information the student needs.

			Name	Type	Generated Value

y	number	0.8
thing	list	List of 2 items
x	number	0.75
a1d	number	0.60
a2	number	0.05
a3	number	0.95
a4	number	0.35
a1	number	0.6
a2d	number	0.05
a3d	number	0.95
a4d	number	0.35

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

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: `number`

0.8

→ Used by:

Statement
Advice
"Part a)" - Minimum accepted value
"Part a)" - Maximum accepted value
"Part b)" - Minimum accepted value
"Part b)" - Maximum accepted value
"Part c)" - Minimum accepted value
"Part c)" - Maximum accepted value
"Part d)" - Minimum accepted value
"Part d)" - Maximum accepted value

Advice

Let

A = {thing[0]}

and

B = {thing[1]}

(a)

Since the events are independent, we can calculate

P(A and B) = P(A) $\times$ P(B) = $\var{x} \times \var{y}=\var{a1}$

Next round to 2 decimal places to get {precround(a1d,2)}

(b)

P(neither A nor B)=P(not A AND not B)= P(not A) $\times$ P(not B) $=(1-\var{x})\times (1-\var{y})=\var{a2}$

Next round to 2 decimal places to get {a2d}

(c)

P(at least one of A or B occurs) = 1 - P(neither A nor B) = 1 - {a2d} = {a3d} using the answer from part (b)

(d)

P(only one of A or B occurs) = P(A occurs and B doesn't OR B occurs and A doesn't)

= P(A and not B) + P(B and not A)

= $\var{x} \times (1-\var{y}) + \var{y} \times (1-\var{x})=\var{a4}$

Next round to 2 decimal places to get {a4d}

Give a worked solution to the whole question.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Simon Thomas 5 years, 10 months ago

Error in variable testing condition

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Warning

Generated value: `number`

Parts

Number entry

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Simon's copy of Probability independent

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Number entry

Advanced settings

Generated value: `number`