- 1.
- Suppose the population has the distribution
Range 0 1 Prob. .3 .7

Let be the sample average of a sample of size 3 from this population. Using a tree diagram, show that the distribution of isRange 0 1/3 2/3 1 Probs 0.027 0.189 0.441 0.343

- 2.
- Show that the means of the population and the distribution of have the same value .7.
- 3.
- Show that the variance of the population in #1 is .21.
- 4.
- Show that the variance of in #1 is .07.