Calculating the down time of a machine

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Question: Repair time in a manufacturing process involving several machines, the average down time t (in hours) for a machine that needs repair has the probability density function

f(t) = 0.5e-0.5t     t ≥ 0

Find the probability that a failed machine's down time is

(a) 2 hours or more.

(b) 8 hours or more.

Reference no: EM131798795

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