A hospital presently has two identical backup emergency electric generators conn

Question

A hospital presently has two identical backup emergency electric generators connected to auxiliary circuits that supply power to critical areas. During a blackout, such backup units allow continuation of surgical, emergency and life-support systems. It is known from the historical data that generator failures fit the exponential distribution, occurring in the average once every 98 hours. Suppose that both generators operate independently and both must fail before critical service is halted. Find the probability that critical service will halt during the next 12 hour power blackout.

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