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Let and be two independent Bernoulli random variables with (Success)=0.5. Define random variables = X+Y and =X-Y. Find the joint and marginal probability mass functions

Let and be two independent Bernoulli random variables with (Success)=0.5. Define random variables = X+Y and =X-Y. Find the joint and marginal probability mass functions for and . Are and independent? Justify your claim.

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