Question: The table below gives the joint probability mass function (p.1ni.) of the random variables X and Y.

1. Find

1. the marginal p.m.f.'s \(p_{X}(x)\) and \(p_{Y}(y)\),
2. \(\operatorname{Var}(X), \operatorname{Var}(Y)\), and \(C(X, Y)\)
3. \(C(3 X-Y, 2 Y+X)\)

(b) Are \(X\) and \(Y\) independent random variables? Justify your answer.

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