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Poisson distribution and the average number of occurrences

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Reference no: EM132386743

The random variable x is the number of the number of calls received by a switchboard. Suppose x follows a Poisson distribution and the average number of occurrences in 20 minutes is 4.

(1) What is the probability that between 10:00 and 10:30 the switchboard will receive exactly 5 calls?

(2) What is the probability that between 10:00 and 10:30 the switchboard will receive more than 2 calls but fewer than 6 calls?

Reference no: EM132386743

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