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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. a) What is the probability that this system will perform reliably for a period of one year? b) If he were to add both a backup generator and a backup transformer, what would be the probability that this system would perform reliably for a period of one year? c) If the transformer has a mean time to wear-out of 20 years with a standard deviation of 2 years, what is the probability that it will wear out within 19 years? d) If the transformer has a mean time to wear-out of 20 years with a standard deviation of 2 years, what service life should the manufacturer specify in order to have a .9332 probability that it will last at least that long before wearing out?

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Operation Management, Management Studies

Category:- Operation Management
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