Every day a car dealer sells X cars of type I and Y cars of type II. The table shows the joint distribution {r i j = P(X = i, Y = j); i, j = 0, 1, 3} of (X, Y) : (1) Determine the marginal...

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

(1) Determine the marginal distributions of (X, Y).

(2) Are X and Y independent?

(3) Determine the conditional mean values and E(X|Y = 1) E(Y|X = 0).