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Z=X+Y, X,Y~U[0,1] Draw the pdf f_Z(z) of Z=X+Y for independent X,Y (a) X,Y~U[-1/2,1/2] (b) X~U[-1/2,1/2], Y~U[0,1] (c) X~U[-1/2,1/2], Y~U[1/2,3/2]

Z=X+Y, X,Y~U[0,1]

Draw the pdf f_Z(z) of Z=X+Y for independent X,Y

(a) X,Y~U[-1/2,1/2]

(b) X~U[-1/2,1/2], Y~U[0,1]

(c) X~U[-1/2,1/2], Y~U[1/2,3/2]

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