Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
Water droplets leave a leaking tap at random, with a steady average rate of $5.2$ per minute.
(a)[3]
Determine the probability that at least $3$ drops arrive in one randomly selected $30$-second interval.
(b)[4]
Use a suitable approximating distribution to determine the probability that at least $650$ drops occur during one randomly selected $2$-hour interval.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Mean rate correctly found as $\lambda = \frac{5.2}{2} = 2.6$” …