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Distributionshard
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Let X1X_1X1​ and X2X_2X2​ be independent random variables, each uniformly distributed on the interval [0,2][0, 2][0,2]. Let Y=X1+X2Y = X_1 + X_2Y=X1​+X2​. Find the value of the probability density function fY(y)f_Y(y)fY​(y) evaluated at y=3y = 3y=3.