Question: Show that variable aX/(1 + aX), where X F(1,2) and a = 1/2, has a BETA(1/2,2/2) distribution.

Show that variable aX/(1 + aX), where X ∼ F(ν1,ν2) and a = ν1/ν2, has a BETA(ν1/2,ν2/2) distribution.

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