$X$ and $Y$ are random variables. $X$ has uniform distribution in $[-1,1]$, i.e, $F_{X} = 1/2$ in $[-1,1]$, and 0c.c. $Y = X^{2}$
What are the distribution of $f_{Y|X=x}$ and $f_{X|Y=y}$?
I found that the marginal o Y is: $f_{Y} = 1/2\sqrt{y}$. Am I right?
And then I, just stuck here: $f_{Y|X=x} = f_{x,y}/f_{x} = 2 f_{x,y}$
What can I do after this?
Any help?