(7) (3 + 3 pts.) A fair die is rolled twice independently with outcomes X for the 1st roll and Y for the 2nd roll. (a) Compute the covariance of X + Y and X - Y. (b) Are X + Y and X - Y independent? Justify your answer clearly.
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Step 1: Calculate the covariance of X + Y and X - Y using the formula Cov(X + Y, X - Y) = E[(X + Y)(X - Y)] - E[X + Y]E[X - Y] Show more…
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