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Suppose that the number of calls per hour to an answering service follows a Poisson process with…


Suppose that the number of calls per hour to an answering service follows a Poisson process with rate 4. Suppose that 3/4’s of the calls are made by men, 1/4 by women, and the sex of the caller is independent of the time of the call. (a) What is the probability that in one hour exactly two men and three women will call the answering service? (b) What is the probability 3 men will make phone calls before three women do?