Assume a population of ​40,45 ​,47, and 53. Assume that samples of size n2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Complete parts ​(a​) through ​(c​). 40,40 40,45 40,47 40,53 45,40, 45,45 45,47 45,53
47,40 47,45 47,47 47,53 53,40 53,45 53,47 53,53

a. Find the median of each of the sixteen​ samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Use ascending order of the sample medians.

b. Compare the population median to the mean of the sample medians. Choose the correct answer below.
c. Do the sample medians target the value of the population​ median? In​ general, do sample medians make unbiased estimators of population​ medians? Why or why​ not?