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Suppose that Y has a gamma distribution with α = n/2 for some positive integer n...

Suppose that Y has a gamma distribution with α = n/2 for some positive integer n and β equal to some specified value. Use the method of moment-generating functions to show that W = 2Y/β has a χ2 distribution with n degrees of freedom. (Please show all work, proof used, and logic to justify the answer. Thank, you)

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