Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

A random variable $X$ follows the distribution $\mathrm{Po}(145)$.
(a)[4]

Apply an appropriate approximating distribution to evaluate $P(X \leq 150)$.

(b)[1]

State why your approximating distribution is valid in this situation.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or show the distribution $N(145,145)$.

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