The plant manager for the local electric utility company wants to determine the

Question

The plant manager for the local electric utility company wants to determine the reliability of one of the small hydroelectric power generating systems. The 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.

1. 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?

A. 0.48

B. 0.60

C. 0.72

D. 0.75

E. 0.96

2. 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?

A. 17 years

B. 18 years

C. 19 years

D. 20 years

E. 21 years

Please show work!!!

Explanation / Answer

1-A
2-D

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