Three randomly selected children are surveyed. The ages of the children are

3,

5,

and

10.

Assume that samples of size

n=2

are randomly selected with replacement from the population of

3,

5,

and

10.

Listed below are the nine different samples. Complete parts (a) through (d).

3,3

3,5

3,10

4,3

4,5

4,10

11,3

11,5

11,10

Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values.

s2	Probability
0	enter your response here
	enter your response here
12.5 40.5 6.3	enter your response here
	enter your response here