The time T required to repair a machine is an exponentially distributed random variable with mean 1

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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 2 hours given that its duration exceeds 12 hours?

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