Question

A population consists of value (2,3,5). Consider all possible samples of size n=2 that can be drawn with resplacement 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:

$\{(2,2),(2,3),(2,5),(3,2),(3,3), \\(3,5),(5,2),(5,3),(5,5)\}.$