Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

$1.6\%$ of the adults in a certain town ride a bicycle, and a random sample of $200$ adults is chosen from this town.
(a)[4]

Use an appropriate approximating distribution to determine the probability that more than $3$ of these adults ride a bicycle.

(b)[2]

Give a justification for your approximating distribution.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use a Poisson distribution whose mean is $\lambda = 3.2$” …

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