Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

In this lottery, the average is that 1 in every 10,000 tickets is a prize-winning ticket, and an agent sells 6000 tickets.

(a)[3]

Apply a suitable approximating distribution to determine the probability that at least \(3\) of the tickets sold by the agent are prize-winning tickets.

(b)[1]

Explain why your approximating distribution is suitable here.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Mean \(\lambda=0.6\) stated” …

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