Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
It is given that, on average, 1 in 300 flowers of a particular kind are white. A random sample of 200 flowers of this kind is chosen.
(a)[3]
Use a suitable approximating distribution to determine the probability that more than 1 flower in the sample is white.
(b)[1]
Justify the choice of approximating distribution used in part (a).
(c)[3]
Use a suitable approximating distribution to determine the probability that the total number of white flowers in the two samples is less than $4$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Poisson distribution used, with the mean correctly given as $\lambda=\tfrac{2}{3}$.” …