Question: elephone calls arrive at a switchboard in a Poisson process at the rate of 4 per minute. Each of the calls has a 20% chance

elephone calls arrive at a switchboard in a Poisson process at the rate of 4 per minute. Each of the calls has a 20% chance of being long distance, independently of everything else. Let X1(t) be the number of long-distance calls up to time t, X2(t) be the number of local calls up to time t, and X(t) = X1(t) X2(t). Then X(t) is the total number of calls up to time t

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