The length of time Y necessary to complete a key operation in the construction of houses

Chapter 4, Problem 4.92

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The length of time Y necessary to complete a key operation in the construction of houses has an exponential distribution with mean 10 hours. The formula C = 100 + 40Y + 3Y 2 relates the cost C of completing this operation to the square of the time to completion. Find the mean and variance of C.

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