please answer all parts of the question. Thanks!

6. Two continuous random variables X and Y have the joint density that is equal to (3(3) + y)2 inside the square 0 g a: S 1, 0 S y g 1 and vanishes everywhere else. a) Find the value of c 13) Find the marginal density fX(9:) and use it to determine E(X) and V(X) c) Find the marginal density fy(y) and use it to determine E(Y) and V(Y) d) Find the correlation p(X, Y). e) Are X and Y independent? Why