Question

Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of size n =2 are randomly selected with replacement from the population of 2, 4 and 9. Listed below are the nine samples
2,2 2,4, 2,9, 4,2 ,4,4 4,9, 9,2 9,4 9,9

1.) 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