Beta distribution with parameters

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Suppose that X and Y are independent random variables: that X has a gamma distribution with parameters a1 and /1; and that Y has a gamma distribution with parameters a2 and (J. Let U = X/(X + Y) and V = X + Y. Show (a) that U has a beta distribution with parameters a1 and 0:2 ; and (b) that U and V are independent.

Reference no: EM131832529

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