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The random variable x is the number of the number of calls received by a switchboard....

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 2. (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?

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