Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

It is given that $10\%$ of the population enjoy watching Historical Drama on television.
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Use a suitable approximation to determine the probability that, from $160$ people selected at random, more than $17$ enjoy watching Historical Drama on television.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Unsimplified $np=160\times0.1$ and $npq=160\times0.1\times0.9=14.4$ are correct.

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