(1 point) If thejoint density function ofX and Y is 2 _ f(x,y) = C(x -y2)e 5, with 0 S x lt; co and x S y 5 x, find each of the following. (a)...

CAN SOMEONE HELP ME WITH THIS PROBLEM. I KEEP GETTING WRONG ANSWER AND DO NOT KNOW THE REASON WHY. Thank you.

(1 point) If thejoint density function ofX and Y is2 _f(x,y) = C(x -y2)e 5",with 0 S x < co and —x S y 5 x, find each of the following. (a) The conditional probability density ofX, given Y = y > 0. Conditional density fX|Y(x, y) = (125*(xA2-yA2)*e’\(-5*x))/l (Enter your answer as a function of x, with y as a parameten) (b) The conditional probability distribution of Y, given X = x. Conditional distribution Fylxmx) = 3*(x"2-y"2)/(4*x’\3) (for —x S y S x)- (Enter your answer as a function of y, with x as a parameten)