Question: Suppose Y 1 and Y 2 are continuous random variables with joint density function f (y 1 , y 2 ) = ky 1 y

Suppose Y1 and Y2 are continuous random variables with joint density function f (y1, y2) = ky1y22 ,

y1 1 y2 1 y1,0 y1 1.

Find (a) k, (b) F (1/2, 1/2), (c) F (1/2, 2) and (d) P (Y1 > Y2). Ans. (a) 30 (b) 9/16 (c) 13/16 (d) 21/32

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