33) All manufactured devices and machines fail to work sooner or later. Suppose that the failure...

33) All manufactured devices and machines fail to work sooner or later. Suppose that the failure rate is constant and the time to failure (in hours) is an exponential r.v. X with parameter λ. Measurements show that the probability that the time to failure for computer memory chips in a given class exceeds 104 hours is e-1 ≈ (0.368).

a) Calculate the value of the parameter λ.

b) Using the value of the parameter λ determined in part (a), calculate the time t, such

that the probability that the time to failure is less than t, is 0.05.

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Expert Solution

orchestra answered 11 months ago

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