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Please solve the following 3. (3 points total) Post-Processing and Independence (3 points) Suppose X and Y are discrete random variables, and f : R

Please solve the following

3. (3 points total) Post-Processing and Independence (3 points) Suppose X and Y are discrete random variables, and f : R - R and g : R - R are functions. Prove that if X and Y are independent then f(X) and g(Y) are independent

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