Problem 2 A system consists of three independent components, A, E and C, connected in a series. The lifespans of components A, B, and {I have an exponential distribution with parameters [1.2, [1.1, and {1.15 {days}'1 (equivalently, means 51 II], and 1,3015 days). The system fails when one of the components fails. {a} Find the probability that the component whose failure caused the system to fail is component C. {b} You can increase the expected lifespan of one of the components by 1 day. 1iWhich component should you select for this improvement in order to cause maximal possible increase in the expected lifespan of the entire system