Five people own and operate the Victrola Coffee Shop in Seattle. Each person is married, and the number of years each has been married is given below.
5, 3, 7, 2, 12
Suppose a random sample of two of the owners is selected with replacement. Let D be a statistic defined to be the absolute value of the difference in the number of years each has been married. For example, if 2 and 7 were selected, the value of D would be |2 − 7| = | −5| = 5. Find the sampling distribution of D.