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U~Unif[0,1] W=1-U~Unif(0,1) X=min(U,1-U)~Unif(0,1/2) Compute the distribution of Z=X+W

U~Unif[0,1]

W=1-U~Unif(0,1)

X=min(U,1-U)~Unif(0,1/2)

Compute the distribution of Z=X+W

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