Question: 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

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

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