Answer to Question #70766 in Statistics and Probability for victor

Question

1. Suppose X and Y are independent continuous random variables. Show that
E[X|Y = y] = E[X] for all y

2. The joint density of X and Y is
f (x, y) = (y^2 − x^ 2) * e^(−y), 0 < y < ∞, −y <= x <= y
Show that E[X|Y = y] = 0.