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The length of time in hours to complete a key operation in the construction of houses has a Gamma distribution with alpha = 2 and

The length of time in hours to complete a key operation in the construction of houses has a Gamma distribution with alpha = 2 and Beta = 4. The cost, C, in dollars of completing this operation is a function of ! that is given by C= 200 + 50Y + 4Y^2. Calculate the mean cost, E[C].

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