Suppose that the number of calls per hour to an answering service follows a Poisson process with
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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 1 h exactly two men and three women will call the answering service?
(b) What is the probability three men will make phone calls before three women do?
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