A quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 interceptions

Question:

A quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 interceptions in his third game, and then he retired. Consider the values of 1, 2, and 5 to be a population. Assume that samples of size 2 are randomly selected (with replacement) from the population.
a. List the 9 different possible samples and find the mean of each sample.
b. What is the mean of the sample means from part a?
c. Is the mean of the sampling from part b equal to the mean of the population of the three listed values? Are those means always equal? Distribution
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