Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Biscuits are packed in groups of 18. Each biscuit has a fixed chance of being broken, independent of all the others. The average number of broken biscuits per packet is $2.7$.
(main)[4]

Find the probability that a packet has between $2$ and $4$ broken biscuits inclusive.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct value of $p$ obtained from $18p = 2.7$, hence $p = 0.15$

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