Three randomly selected children are surveyed. The ages of the children are 2
​,
6
​,
and 7
.
Assume that samples of size nequals
2
are randomly selected with replacement from the population of 2
​,
6
​,
and 7
.
Listed below are the nine different samples. Complete parts​ (a) through​ (d).
2
​,2   
2
​,6   
2
​,7   
6
​,2   
6
​,6   
6
​,7   
7
​,2   
7
​,6   
7
​,7


Question content area bottom
Part 1
a. Find the value of the population variance sigma
2.
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​(Round to three decimal places as​ needed