If $E[X|Y=y]=y$, does $E[X]=E[Y]$? Similarly, if $E[X|Y=y]=y^2$, does $E[X]=E[Y^2]$?
I'm having some trouble with this conditional expectation concept, although it seems intuitively true
If $E[X|Y=y]=y$, does $E[X]=E[Y]$? Similarly, if $E[X|Y=y]=y^2$, does $E[X]=E[Y^2]$?
I'm having some trouble with this conditional expectation concept, although it seems intuitively true