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2. Define the random variable X as taking values {-1, 0, 1} with the following pmf: P(X = -1) = P(X = 0) = P(X
2. Define the random variable X as taking values {-1, 0, 1} with the following pmf: P(X = -1) = P(X = 0) = P(X = 1) = Then define the random variable Y as Y = 0 : if X = 0 1 : if X * 0 (a) Give the joint pmf px,y (x, y) in the form of a table. (b) Are X, Y independent? (c) Compute the covariance cov (X, Y)
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