Question

Hospitals typically require backup generators to provide electricity in the event of a power outage. A certain hospital has two backup generators, so that power is still available if one of them fails during a power outage. These generators operate independently, so that if one backup fails, the failure will not affect the operation of the other generator. Assume that both emergency backup generators are the same make and model, which is known to fail 21​% of the times when they are needed. What is the probability that both generators will fail during a power outage? Round your answer to three decimal places; add trailing zeros as needed. Tthe probability that both generators will fail during a power outage is [BGenProb].

Answer 1

Ans:

Probability that a generator will fail=0.21

The probability that both generators will fail during a power outage

=0.21*0.21

=0.0441