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