Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
Used computers are being donated to a charity at a constant mean rate of 2.4 computers each week.
(a)[1]
State one necessary condition for $X$ to have a Poisson distribution.
(b)[3]
Assuming now that $X$ follows a Poisson distribution, Calculate the probability that the number of computers donated in a 4-week interval is greater than 6 and less than 9.
(c)[4]
Use an appropriate approximating distribution to calculate the probability that more than 50 computers are donated in a 20-week period.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Computers are donated independently, or singly, or randomly” …