EECE 3468 problem set 2Consider a computer network system with two identical routers, Router A and Router B. The event denotes the failure of Router A during the design life, and the event denotes the failure of Router B. In this scenario, the network can still operate if one router fails, but the remaining router is more likely to fail due to increased usage. If router A fails, the probability of router B failing becomes 20%. If 9% of all network systems with these routers have at least one router fail by the end of the design life, determine the prior probability of one router failing, [], during the design life, the probability of both routers failing and the probability that none of the routers fail