Using the experiment in Example 3.3, define two more

QUESTION:

Using the experiment in Example 3.3, define two more random variables and list the possible values of each. Reference example 3.3 Example 2.3 described an experiment in which the number of pumps in use at each of two six-pump gas stations was determined. Define rv’s X, Y, and U by X= the total number of pumps in use at the two stations Y =the difference between the number of pumps in use at station 1 and the number in use at station 2 U= the maximum of the numbers of pumps in use at the two stations If this experiment is performeds= (2,3) and results, then X((2,3)) =2+3 =5 , so we say that the observed value of X was x= 5 . Similarly, the observed value of Y would be y =2-3 = -1, and the observed value of U would be u = max (2,3) -3. Each of the random variables of Examples 3.1–3.3 can assume only a finite number of possible values. This need not be the case.