Suppose $X$ and $Y$ are two independent random variables with uniform distribution on $(-1,1)$.
What is $E(\mid X+Y\mid)$
I am really confused with the abs function. I could only graph the region such that $\mid X+Y\mid \le 1$ but I don't know how to start from here.
\mid X+Y\mid \le 1">
Is there a general way to solve random variables involved abs function?