The probability distribution shown here describes a population of measurements that can assume values of 0, 2, 4, and 6, each of which occurs with the same relative frequency:

a. List all the different samples of n = 2 measurements that can be selected from this population.

b. Calculate the mean of each different sample listed in part a.

c. If a sample of n = 2 measurements is randomly selected from the population, what is the probability that a specific sample will be selected?

d. Assume that a random sample of n = 2 measurements is selected from the population. List the different values of found in part b, and find the probability of each. Then give the sampling distribution of the sample mean in tabular form.

e. Construct a probability histogram for the sampling distribution of .