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4. Suppose X and Y are independent random variables with PDF given by: fx(x) =x/2 when 0 4. Suppose X and Y are independent random

4. Suppose X and Y are independent random variables with PDF given by: fx(x) =x/2 when 0

4. Suppose X and Y are independent random variables with PDF given by: fx(x) = x/2 when 0 < x < 2, and zero otherwise fy(y) = y/2 when 0 < y < 2, and zero otherwise Find the PDF ofZ = X+Y.

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