1.
If mm and σ2\sigma^2 are the mean and variance of the random variable XX, whose distribution is given by:

| xx | 0 | 1 | 2 | 3 |
|-----|---|---|---|---|
| P(X=x)P(X=x) | 13\frac{1}{3} | 12\frac{1}{2} | 0 | 16\frac{1}{6} |

Then