5.5.9 Random variables X and Y have the
joint PDF
$\qquad f_{X,Y}(x,y) = \begin{cases} cy & 0 \le y \le x \le 1, \\ 0 & \text{otherwise.} \end{cases}$
(a) Draw the region of nonzero probability.
(b) What is the value of the constant $c$?
(c) What is $F_X(x)$?
(d) What is $F_Y(y)$?
(e) What is $P[Y \le X/2]$?