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Question

Hos pitals typically req uire backup generators to provide electricity in the event of a power outage. Assume that emergency backup generato rs fai l 22% of the times when they are needed (based on data from Arshad Mansoor, senior vice president with the Electric Power Research In stitute). A hospital has two backup generators so that power is avail able if one of them fails during a power outage. Find the probability that both generators fail during a power outage.

Solution

VerifiedStep 1

1 of 3$P($one fails$)=0.22$

Since the rate of emergency backup generator failure is 22% (given in the problem), it follows that the probability of one generator failing is 22%.

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