Suppose x and y are continuous random variables with joint pdf given by a) find fx(x) b) find fy(y) c) are x and y independent? d) find the conditional pdf of x given y=y: fx|y(x|y) e) find e(x|y=y) for 0 ≤ y ≤ 1 f) find var(x|y=y) for 0 ≤ y ≤ 1