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8. X and Y are discrete random variables with a joint mass function given as follows. P(X=0, Y=0)=\frac{1}{6}, P(X=1, Y=0)=\frac{1}{12}, P(X=1, Y=1)=\frac{1}{6} P(X=2, Y=0)=\frac{1}{12}, P(X=2, Y=1)=\frac{1}{3}, P(X=2, Y=2)=\frac{1}{6} What is

the variance of X? (а) 0.47 (b) 0.58 (c) 0.83 (d) 1.42 (e) 2.58

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