on 0<y<x
on 0<x<1
Thus the joint density is the product... on 0<y<x<1.
you have the density of X, do you want the density of Y?
on 0<y<1, which is a valid density via l'hopital's rule.
So, .
I am having trouble getting started in the right direction with the following problem:
Random variable X~U[0,1] and the conditional distribution of Y is Y|X=x~U[0,x], what is E[y].
This is what I have:
1.) Definition of conditional expectation
2.) Get fx,y(x,y)
3.) get fx(x)
I know the general steps, but I don't know how to set them up. Can somebody please put these steps in working form and get me started. Thanks