Question

The joint distribution of two variables X and Y are given below. Evaluate the following (i) Marginal distribution of X and Y (ii) E(XY) (iii) (iv) COV(X,Y),
(v) P(X + Y>1) and verify that X and Y are not independent.

Y
X 0 1
0 0.1 0.2
1 0.4 0.2
2 0.1 0