Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

The random variable $X$ follows the distribution $\text{Po}(15)$.
(a)[1]

State an expression in terms of $e$ for $P(X = 12)$.

(b)[3]

Given that $P(X = n) = P(X = n + 1)$, state an equation in $n$, and hence find the value of $n$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct probability form $e^{-15}\,\frac{15^{12}}{12!}$

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