Let the random variables X and Y have joint cdf as follows: 1-e-eye-y, x>0, y>0 F(x, y)= 0, a. Find the joint pdf f(x, y) of X and Y. b. Are X and Y independent? c. Find f,(xly). d. Find P(X ≤2 and Y ≥ 3). e. Find the means of the two variables. f. Find the variances of the two variables. g. Find the correlation coefficient of X and Y. otherwise