Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

In a particular country, the average is that one student in five has blue eyes.
(a(i))[3]

For a random sample of $n$ students, the chance that none of them has blue eyes is below $0.001$. Find the least possible value of $n$.

(a(ii))[4]

For a random sample of $120$ students, find the probability that fewer than $33$ of them have blue eyes.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Forming inequality $(0.8)^n<0.001$

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