Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

It is established that $1\%$ of the houses in one area are fitted with a wind turbine. For a survey on domestic heating, a random sample of $400$ houses from this area is selected. Let $X$ represent how many houses in the sample have a wind turbine.
(main)[3]

Use an appropriate approximating distribution to determine $P(X \leq 3)$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct parameter value: $\lambda=4$

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