Calculate the density functions
P( X = 1) = P( X = 0) = 1/2, Z _ N (0,1), and they are independent. Calculate the density functions of X+Z
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P( X = 1) = P( X = 0) = 1/2, Y : U (0,1), Z : U (-1,1), and they are independent. Calculate the distribution and density functions of X+Y and X+Z
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