Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
On average, among people who enter this large shop, 34% leave without buying anything, 53% spend less than $50, and 13% spend at least $50.
(i)[3]
A random group of 15 shop visitors is selected. Calculate the probability that 14 or more of them buy something.
(ii)[3]
From $n$ randomly chosen shop visitors, the probability that none of them spends at least $50 is below 0.04. Find the smallest 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: “Identification of a binomial distribution with parameters $n=15$, $p=0.66$” …