Answer to Question #344922 in Statistics and Probability for DENG

Question

1. Given the population 2,4,6 and 8. Suppose samples of size 3 are drawn from this population.

a. Determine the number of possible samples of size n that can be drawn from a given population of size n.

Answer 1

We have population values $2,4,6,8$ population size $N=4$

The number of possible samples which can be drawn without replacement is

$$\dbinom{N}{n}=\dbinom{4}{3}=4$$

They are as follows: (2,4,6), (2,4,8), (2,6,8), (4,6,8).