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Let X be a random variable such that P (X = – 2) = P (X = –1) = P (X = 2) = P(X = 1) = 1 6 and P(X = 0) = 1/3 Then find the mean and variance of X.

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= 4/6 + 1/6 + 0 + 4/6 + 1/6

= 10/6 = 5/3

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