Question

1. A population consists of the values (2, 4, 7). List down all the possible samples of size 2 which can be drawn with replacement from this population.

Answer 1

The number of possible samples which can be selected with replacement is

$N^n=3^2=9.$

All the possible samples of sizes n=2 wich can be drawn with replacement from the population:

$\{(2,2),(2,4),(2,7),(4,2),(4,4), \\(4,7),(7,2),(7,4),(7,7)\}.$