Let X be a discrete random variable that takes values in {-52,-4,-2,-1, 0, 1, 2, 4,...

 

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Let X be a discrete random variable that takes values in {-52,-4,-2,-1, 0, 1, 2, 4, 52} with equal probability. Also, Y is another discrete random variable defined as Y = |X|. (i) Find the covariance Cov(X, Y) and the correlation coefficient Corr(X, Y). (ii) Explain the results obtained in (i). Let X be a discrete random variable that takes values in {-52,-4,-2,-1, 0, 1, 2, 4, 52} with equal probability. Also, Y is another discrete random variable defined as Y = |X|. (i) Find the covariance Cov(X, Y) and the correlation coefficient Corr(X, Y). (ii) Explain the results obtained in (i).