Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

On average, 2 apples in every 15 are considered to be underweight.
(main)[5]

Find the probability that, in a random sample of 200 apples, the number of apples that are underweight is more than 21 and less than 35.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Mean and variance are worked out correctly, e.g. mean $=200\times\frac{2}{15}$ and variance $=200\times\frac{2}{15}\times\frac{13}{15}$

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