Suppose two random variables X and Y have the following joint probability density function: f(x,y)=3(x-2xy+y^2), 0=<x=<1, 0=<y=<1.
(a) Find the probability that Y>=2X
(b) Find E(X), E(Y), Var (X), Var (Y)
(c) Show that Corr(X,Y)= -(30)^0.5/12, Corr means correlation.