Small hydroelectric power generating systems

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Reference no: EM131278255

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?

Reference no: EM131278255

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