The joint density for (X,Y) is given by
fxy(x,y) = (x^3 y^3) / 16 , 0 <=x <= 2, 0 <= y <= 2
a) Find the marginal densities for X and Y
b) Are X and Y independent?
c) Find P[X>=1]
d) If it is known that y = , what is P[X<=1]? (do not use any computation to answer this question_
e) Find the covariance between the random variables X and Y
f) What is the correlation between the random variables X and Y?