A professor sees students during regular office hours. Times spent with students follow an exponential distribution with

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A professor sees students during regular office hours. Times spent with students follow an exponential distribution with mean 10 minutes.

(a) Find the probability that a given student spends less than 20 minutes with the professor.

(b) Find the probability that a given student spends more than 5 minutes with the profes sor.

(e) Find the probability that a given student spends between 10 and 15 minutes with the professor.

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