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Date November 2019 Marks available 2 Reference code 19N.2.AHL.TZ0.H_2
Level Additional Higher Level Paper Paper 2 Time zone Time zone 0
Command term Calculate Question number H_2 Adapted from N/A

Question

The number of marathons that Audrey runs in any given year can be modelled by a Poisson distribution with mean 1.3 .

Calculate the probability that Audrey will run at least two marathons in a particular year.

[2]
a.

Find the probability that she will run at least two marathons in exactly four out of the following five years.

[4]
b.

Markscheme

X Po ( 1.3 )

P ( X 2 ) = 0.373        (M1)A1

[2 marks]

a.

V B ( 5 0.373 )        (M1)A1

Note: Award (M1) for recognition of binomial or equivalent, A1 for correct parameters.

P ( V = 4 ) = 0.0608        (M1)A1

[4 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 4—Statistics and probability » AHL 4.17—Poisson distribution
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Topic 4—Statistics and probability

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