Three randomly selected children are surveyed. The
ages of the children are 2, 4, and 12. Assume that
samples of size n = 2 are randomly selected with
replacement from the population of 2, 4, and 12. Listed
below are the nine different samples. Complete
parts (a) through (d).
2,2 2,4 2,12 4,2 4,4 4,12 12,2 12,4
12,12
a. Find the value of the population variance $\sigma^2$.
(Round to three decimal places as needed.)