Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

In one country, 20540 adults from a population of 601200 hold a degree in medicine.
(a)[4]

Use an approximating distribution to calculate the probability that, in a random sample of $1000$ adults from this country, fewer than $4$ of them have a degree in medicine.

(b)[2]

Justify the approximating distribution selected in part (a).

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Calculate $\frac{20540}{6012300}=0.0034163$, and so $\times 1000 = 3.4163$.

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