2. Random variables X and Y have a following pdf $f(x, y)$:
$f(x, y) = egin{cases} 2, & 0 \leq x \leq y \leq 1, \
0, & \text{otherwise.} \end{cases}$
(a) Find the marginal pdf $f_X(x)$.
(b) Find the marginal pdf $f_Y(y)$.
(c) Check that X and Y aren't independent, i.e. $f(x, y) \neq f_X(x)f_Y(y)$.