Points: 0.09 of 1 Save 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 0 a. Find the value of the population variance 2. 18.667 (Round to three decimal places as needed.) b. 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. Probability (Type integers or simplified fractions.)