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Mathematics, 21.11.2020 23:20 neariah24

2. Patients arrive at a hospital accident and emergency department at random follow a Poisson distribution at a rate of 6 per hour.
(a) Find the probability that, during any 90-minute period, the number of patients
arriving at the hospital accident and emergency department is
(i) exactly 7

(ii) at least 3

(b) What is the mean and standard deviation of the number of patients arriving at the
hospital accident and emergency department in an hour?

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Answers: 3

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