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

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Statistics

33) All manufactured devices and machines fail to work sooneror later. Suppose that the failure rate is constant and the time tofailure (in hours) is an exponential r.v. X with parameter λ.Measurements show that the probability that the time to failure forcomputer 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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