Refer to Exercise 4.107. Assume that a random sample of n = 2 measurements is randomly selected from the population.

a. List the different values that the sample median rn may assume and find the probability of each. Then give the sampling distribution of the sample median.

b. Construct a probability histogram for the sampling distribution of the sample median and compare it with the probability histogram for the sample mean

(Exercise 4.107, part b).