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Suppose the length of telephone calls follows an exponential distribution with the average call taking 2 minutes. Let X be the length of the next

Suppose the length of telephone calls follows an exponential distribution with the average call taking 2 minutes. Let X be the length of the next telephone call. (a) Find the probability the next call takes more than 2 minutes (b) Find the probability the next call takes less than 4 minutes, given it takes more than 3. (c) Find the probability the average length of the next 40 calls is less than 2 minutes.

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