Sir, I am stuck on this question

4. Suppose X and Y are two independent random variables with the following probability distributions: X =I -1 0 Y= y -1 0 1 P(X = 1) 0.20 0.60 0.20 and P(Y = y) 0.30 0.40 0.30 The random variables V and W are defined as: V = X? + Y' and W = X+Y. (a) Construct the table of the joint probability distribution of V and W. (8 marks) (b) Calculate the following quantities: i. Var(W), given that E(W) = 0. (2 marks) ii. Cov(V, W). (3 marks) iii. E(V | W = 0). (4 marks) (c) Are V and W uncorrelated? Are V and W independent? Justify your answers