Answer
a. 0, 4/16
2, 2/16
3, 2/16
7, 2/16
9, 2/16
10, 2/16
12, 2/16
b. 12
c. No
Work Step by Step
a. We know there are 4 numbers, so there are $4^2=16$ ways to combine them. Combining the values with the same ranges, we obtain the following:
Median, probability:
0, 4/16
2, 2/16
3, 2/16
7, 2/16
9, 2/16
10, 2/16
12, 2/16
b. We see that the population range of this set is 12.
c. The population range is not unbiased, for it is not equal to the sample range.
