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(10 points) Suppose that severity, S, follows Gamma distribution with parameters a=4 and 0 and the density function is f (x) = aple /8. Suppose

(10 points) Suppose that severity, S, follows Gamma distribution with parameters a=4 and 0 and the density function is f (x) = aple /8. Suppose that 0 follows a uniform distribution on (3000, 5000). Find the expected value and variance of S

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