## Probability

### The Analysis of Data, volume 1

Random Vectors: Exercises

## 4.11. Exercises

1. Consider two independent discrete RVs $X,Y$ that are uniform over $\{1,2,3,4\}$. Derive the pmf of the RV $X+Y$ using the convolution technique.
2. Repeat (1) for $X-Y$.
3. Specify formally a pair of RVs $X,Y$ for which $\Cov(X,Y)=0$.