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The plant manager for the local electric utility company wants to know the reliability of one of his small hydroelectric power generating systems. This system is comprised of two components: a generator which has a random failure rate of one in every two years of operation; and a transformer which has a random failure rate of one in every five years of operation.

If he were to add just a backup generator, what would be the probability that this system would perform reliably for a period of one year?

0.75
0.48
0.72
0.60
0.96

Operation Management, Management Studies

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