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Let Y1 and Y2 be continuous random variables with joint density function f (y 1 , y 2 ) = k(y 1 + y 2

Let Y1 and Y2 be continuous random variables with joint density function f (y1, y2) = k(y1 + y22), 0 y1 1, 0 y2 1. Find (a) k, (b) fY2 (y2) and (c) P (Y2 1/2 | Y1 > 1/4).

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