Question: Consider a power plant with two generators labeled A and B. The probability that generator A is in maintenance is 0.01, the probability that generator

Consider a power plant with two generators labeled A and B. The probability that generator A is in maintenance is 0.01, the probability that generator B is in maintenance is 0.02, and the probability that both generators are in maintenance is 0.0001.

a. Find the probability that the power plant is not generating power. No power is generated if one or both generators are in maintenance.

b. Find the probability that at least one generator is under maintenance.

c. Find the probability that only one of the generators is under maintenance.

d. What is the probability that neither generator is under maintenance?

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