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If Y 1 and Y 2 are continuous random variables with joint density function f(y 1 , y 2 ) = 6(1 y 2 ),

If Y1 and Y2 are continuous random variables with joint density function f(y1, y2) = 6(1 y2), 0 y1 y2 1, find (a) f1(y1) and (b) P(Y2 1/2 | Y1 3/4) and (c) P (Y2 3/4 | Y1 = 1/2). Ans. (a) f1(y1) = 3(1 y1)2, 0 y1 1 (b) 32/63 (c) 1/4

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