Okay, this problem has been bugging me... I guess I have some problems with conditional things :(
Let X and Y two independent rv's, both following a uniform distribution over [0,1]
Find the conditional expectation . Then find the conditional distribution of Z such that X=x.
hem... I was thinking about splitting the expectation and keeping the part where Y>X (since it's 0 elsewhere).
But I'm drawing a blank there (Crying)
Also, is it more logical to first find the conditional distribution before the conditional expectation ?
And would someone be kind enough to give me the general guidelines when dealing with such a problem ?
Thanks for any help !