Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Water droplets leave a leaking tap at random, with a constant mean rate of $5.2$ per minute.
(a)[3]

Determine the chance that at least $3$ drops occur in a randomly selected $30$-second interval.

(b)[4]

Use an appropriate approximating distribution to find the probability that at least $650$ drops occur in a randomly chosen $2$-hour period.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct mean parameter $\lambda = \frac{5.2}{2} = 2.6$” …

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