Let the joint probability density function for (X, Y) be

f(x,y)=1/12(x+y), x>0, y>0, 8x+y<8, 0 otherwise.
a. Find the probability P(X < Y). Give your answer to 4 decimal places.
b. Find the marginal probability density function of X, fX(x). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of x.
c. Find the marginal probability density function of Y, fY(y). Enter a formula in the first box, and a number for the second and the third box corresponding to the range of y
d. Are X and Y independent? Find Cov(X,Y) and round your answer to 4 decimal places.
Are X and Y independent?
Cov(X,Y) =