Please explain in details, and I don't want answers copied from other WEBSITES ANSWERS. Thanks!

Let n = {w1, W2, W3, W4, W5, 6}. Suppose that 1 P(W1) = P(W2) = P(W4) = P(W5) = P(W6) = 12 P(W3) = = OH and define the random variable Y by Y(w; ) = i for i = 1, 2, ..., 6. (a) Find E [Y]. (b) Find E [Y | A ] where A = {W1, W2, W3}- (c) Find E[Y |o (X) ] where X is the random variable defined by X(w;) = (-1)' for i = 1, 2, ..., 6