The Plant Manager for the Local Electric Utility Company Wants

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?

A) 0.48
B) 0.60
C) 0.72
D) 0.75
E) 0.96