Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

The random variable $X$ follows the distribution $B(4000,\,0.001)$.

(a)[3]

Use a suitable approximating distribution to determine $\mathrm{P}(2 \leq X < 5)$.

(b)[1]

Justify the choice of approximating distribution in this case.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Identify the Poisson parameter: $\lambda=4$.” …