It's me again, sorry...

I've a Problem with a conditional expectation:

$\displaystyle X_1,X_2$ are two random variables and $\displaystyle c>0$ is just a constant.

Does the follwoing hold?

$\displaystyle E[X_1X_2|X_1=c]=cE[X_2|X_1=c]$?

Or does it just hold if $\displaystyle X_1$ and $\displaystyle X_2$ are independent?

Thanks in advance!