Hi, hopefully someone can help me with this question, not sure what it is I'm supposed to do exactly.

Let $\displaystyle X_1$ and $\displaystyle X_2$ be independent random variables with common distribution defined by:

$\displaystyle X =$

0, with probability $\displaystyle \frac{1}{8}$

1, with probability $\displaystyle \frac{3}{8}$

2, with probability $\displaystyle \frac{1}{2}$

Find the distribution of the sum of $\displaystyle X_1 + X_2$

Hopefully someone can point me in the right direction with this

Craig