The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 2. 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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Chapter1: Combinatorial Analysis
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->0.5).
The time(in hours) required to repair a machine is an exponentially distributed
random variable with parameter λ = 2. 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?
Transcribed Image Text:->0.5). The time(in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 2. 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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