Question

Suppose a population is composed of only 3 measures: 1, 2, and 3. The possible samples of

size 2 can be draw from this population. List all the possible sample size 2 when repetition

allowed or with replacement.

Answer 1

In sampling with replacement there are $3^2=9$ possible outcomes.

$$S=\{(1,1), (1,2), (1,3), (2,1), (2,2), (2, 3),$$

$$(3, 1),(3,2), (3, 3)\}$$