Problem 8. [10 points] The failure of a circuit board interrupts work that utilizes a computing system until a new board is delivered. The delivery time, Y, is uniformly distributed on the interval one to five days. the cost of a board failure and interruption includes the fixed cost co of a new board and a cost that increases proportionally to Y?. If C is the cost incurred, then C = co+cy?. a. Find the probability that the delivery time exceeds two days. b. In terms of co and c1, find the expected cost associated with a single failed circuit board