5. Let X and Y be two jointly continuous random variables with joint PDF f_{X Y}(x, y)=\left\{\begin{array}{l}

c x^{2} y \\

0

\end{array}\right. -1 \leq x \leq 1,0 \leq y \leq|x| (a) Find c. (b) Write an à expression (no need to evaluate) for P(Y<1-X). (c)Find fxy(x|y) the conditional probability density function of X given Y=y.