Let the random variables X and Y follow the joint pdf 2yex ifx > 0, 0 < y < 1 otherwise { Mark the statements below that are true for this joint pdf. fx.x (x, y) = 0 Select one or more: a. The marginal density of Y is fy(y) = 2y on (0,1). b. X and Y are independent. c. E[XY] = 0. d. The conditional density of Y given X = x is proportional to xe assuming x > 0. e. The joint cumulative distribution function (cdf) tends to infinity as y tends to infinity. Of. X and Y are dependent.