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5-1. The time T required to repair a machine is an exponentially distributed random variable with mean 1/2 (hours). (a) What is the probability that
5-1. The time T required to repair a machine is an exponentially distributed random variable with mean 1/2 (hours). (a) What is the probability that a repair time exceeds 1/2 hour? (b) What is the probability that a repair takes at least 12 1 hours given that its duration exceeds 2 12 hours?