# Math Help - Probability and conditional expectation

1. ## Probability and conditional expectation

Y and V are independant, $E[V]=0$, $E[Y^2]<\infty$

$X$ $=c+$ $aY^2$ $+bV$
a,b,c are constant.

Find $E[X/Y]$

I get $E[X/Y]$ $=c$ $+$ $aE[Y^2 /Y]$

Not sure if this is right

2. Hello,

If Y and V are independent, then E[V|Y]=E[V] and for a suitable function f, E[f(Y)|Y]=f(Y).

So there's just 1 simplification left.

3. why does E[f(y)/y]=f(y)?

in this case i would have thought that since f(y) depends explicitly on the values of y, this cannot be the case

4. It IS the case... f(Y) is Y-measurable.