[8] 6. Let Y1 and Y2 have joint density function J8y1y2 0< yı < y2 < 1 fY, x, (Y1, 42) = otherwise Let U1 = Y1/Y2 and U2 = Y2. (a) Derive the joint density function of (U1, U2). (b) Show that U1 and U2 are independent.

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