27. Let X have the beta distribution on [0, 1] with parameters a n1/2 and b...

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27. Let X have the beta distribution on [0, 1] with parameters a  n1/2 and b  n2/2, where n1/2 and n2/2 are positive integers. De ne Y  (X/a)/[(1  X)/b].

Show that Y has the F distribution with degrees of freedom n1, n2.

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