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Variance of the Sum of Random Variables

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Let X and Y be discrete random variables with the joint probabilities P(X=1, Y=2) = 0.1, P(X=1, Y=3) = 0.2, P(X=2, Y=1) = 0.3, and P(X=2, Y=2) = 0.4. What is the value of Var(X + Y)?

A

0.65

B

0.24

C

0.9

D

0.81

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