Question: Assume that X and Y are two random variables distributed over {0, 1}. Assume that px (0) = 1/2. Define Z = X OY, where

Assume that X and Y are two random variables distributed over {0, 1}. Assume that px (0) = 1/2. Define Z = X OY, where @ denotes modulo-2 addition. Prove that pzy = PzPY

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