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The time (in hours) required to repair a machine is an exponentially distributed random variable, T, with parameter lambda = 1/4. FInd: a) the probability

The time (in hours) required to repair a machine is an exponentially distributed random variable, T, with parameter lambda = 1/4. FInd:

a) the probability that the repair time exceeds 2 hours, P(T> 2)?

b) the condiitonal probability that the repair is completed in 5 hours or less given that its duration is 3 hours or more P(T <= 5 | T>=3)?

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