Question

Consider an experiment in which the number of pumps in use at each of two five-pump gas stations was determined. Call the two gas stations Station A and Station B. Define rv's X, Y, and U by the total number of pumps in use at the two stations the difference between the number of pumps in use at Station A and the number in use at Station B the maximum of the numbers X Y U pumps use at the two stations. Another random variable could be V the difference between the maximum and minimum number of pumps in use at the two stations. What are the possible values of V?

a) -5, -4, -3,-2, -1, 0
b) -4, -3, -2, -1, 0
c) 0, 1, 2, 3, 4
d) 0, 1, 2, 3, 4, 5
e) -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

Answer 1

The random variable X represents the total number of pumps in use at Station A and Station B. The possible values for X range from 0 to 10. The random variable V represents the difference between the maximum and minimum number of pumps in use at the two stations. The possible values for V range from -5 to 5.

Step-by-step explanation:

Probability of X

The random variable X represents the total number of pumps in use at Station A and Station B. The possible values for X range from 0 to 10, since each station has 5 pumps.

Values of V

The random variable V represents the difference between the maximum and minimum number of pumps in use at the two stations. The possible values for V range from -5 to 5, since the difference between the maximum and minimum number of pumps can be anywhere from -5 to 5.