Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

Sarah gets $X$ phone calls per day, and the probability distribution is given below.
(a(i))[2]

Find $k$.

(a(ii))[1]

Find the modal value of $X$.

(a(iii))[3]

Find the probability that Sarah receives more phone calls on a given day than the mean number of calls per day.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Since probabilities must add to 1: $0.24 + 0.35 + 2k + k + 0.05 = 1$

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