Suppose you arrive at a post office having two clerks at a moment when both are busy

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Suppose you arrive at a post office having two clerks at a moment when both are busy but there is no one else waiting in line. You will enter service when either clerk becomes free. If service times for clerk i are exponential with rate λi, i = 1, 2, find E[T], where T is the amount of time that you spend in the post office.

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