37. The time (in hours) required to repair a machine is an exponentially distributed random variable with

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37. The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 1.

(a) What is the probability that a repair time exceeds 2 hours?

(b) What is the conditional probability that a repair takes at least 3 hours, given that its duration exceeds 2 hours?

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