Every day a car dealer sells \(X\) cars of type 1 and \(Y\) cars of type 2 . The following table shows the joint distribution \(\left\{r_{i j}=P(X=i, Y=j) ; i, j=0,1,3\right\}\) of \((X, Y)\).

(1) Determine the marginal distributions of \((X, Y)\).
(2) Are \(X\) and \(Y\) independent?
(3) Determine the conditional mean values \(E(X \mid Y=i), i=0,1,2\).

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Y 0 1 2 X 0 0.1 0.1 0 1 0.1 0.3 0.1 2 0 0.2 0.1