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7. 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 1 to 5 days. The cost incurred following a board failure is related to the delivery time for a new board by the formula C- 50 3Y +9Y2. a. Find the probability that the delivery time, Y, exceeds 2.5 days. b. Find E(C), the expected cost associated with the failure of a circuit board.

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