Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
For a large consignment of mangoes, $15\%$ are put in the small group, $70\%$ in the medium group and $15\%$ in the large group.
(i)[3]
Yue-chen chooses $14$ mangoes at random. Find the probability that fewer than $12$ of them are medium or large.
(ii)[3]
Yue-chen chooses $n$ mangoes at random. The probability that none of the $n$ mangoes is small is at least $0.1$. Determine the greatest possible value of $n$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct use of $p=0.85$” …