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

If Y1 and Y2 are continuous random variables with joint density function f (y1, y2) = k y1 e-y2 , 0 y1 1, y2 > 0,

find (a) k, (b) fY1 (y1) and (c) f (y2 | y1 < 1/2).

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