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

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30. The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 1/5. What is

(a) the probability that a repair time exceeds 2 hours;

(b) the conditional probability that a repair takes at least 10 hours, given that its duration exceeds 9 hours?

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