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Mary investigates two random variables, X and Y , where Y = X4 . She finds that E(XY ) = 0, E(X) = 0, and

Mary investigates two random variables, X and Y , where Y = X4 . She finds that E(XY ) = 0, E(X) = 0, and E(Y ) = 4. (a) Using this information, find COV(X, Y ). (b) In your own words, describe the association between X and Y . (c) Are X and Y independent? Explain your answer using your own words. Include a statement about your covariance calculation in your answer. (You do NOT need to complete any calculations to answer this question.)

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