(All Steps) Suppose that Y has a gamma distribution with α=n / 2 for some positive integer n and β that Y has a gamma equal to some specified


Question: Suppose that \(Y\) has a gamma distribution with \(\alpha=n / 2\) for some positive integer \(n\) and \(\beta\) that \(Y\) has a gamma equal to some specified value. Use the method of moment-generating functions to show that Suppose \(W=2 Y / \beta\) has a \(\chi^{2}\) distribution with \(n\) degrees of freedom.

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