Question: Let X F(n1, n2) and define Show that B Beta (n1/2, n2/2) and (1 B) Beta (n2/2, n1/2). B = 112

Let X ∼ F(n1, n2) and define

B = 112 X TU+I X TH 1+ "X #12

Show that B ∼ Beta (n1/2, n2/2) and (1 − B) ∼ Beta (n2/2, n1/2).

B = 112 X TU+I X TH 1+ "X #12

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