Question
Two bad eggs are accidently mixed up with ten good ones. Three eggs are drawn at random with replacement from this lot. Compute the mean for the number of bad eggs drawn.
| $\text{X}$ | $\text{P}(\text{X})$ |
| $0$ | $\frac{6}{11}$ |
| $1$ | $\frac{9}{22}$ |
| $2$ | $\frac{1}{22}$ |
| $\text{x}_\text{i}$ | $\text{p}_\text{i}$ | $\text{x}_\text{i}\text{p}_\text{i}$ |
| $0$ | $\frac{6}{11}$ | $0$ |
| $1$ | $\frac{9}{22}$ | $\frac{9}{22}$ |
| $2$ | $\frac{1}{22}$ | $\frac{1}{11}$ |
| $\sum\text{p}_\text{i}\text{x}_\text{i}=\frac{1}{2}$ |
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