7-53. Suppose a random variable Xis gamma distributed with probability density function (7.48). Demonstrate that the rth

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7-53. Suppose a random variable Xis gamma distributed with probability density function (7.48). Demonstrate that the rth moment about zero, μ



r , can be written as μ



r

= θr(α + r)/(α). Then use this expression to determine E(X),V(X).

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