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Assume that the number X of hours of sunshine per day in a certain place has a Gamma distribution with scale parameter 4 and shape

Assume that the number X of hours of sunshine per day in a certain place has a Gamma distribution with scale parameter 4 and shape parameter 1.5. The profit of a certain outdoor activity depends upon the number of hours of sunshine through the formula

Profit = 100000(l - e^(- X/10)).

Find the expected value of the Profit.

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