Determine the possible values of the random variable.
-Suppose that two balanced dice are rolled. Let X denote the absolute value of the difference of the two numbers. What are the possible values of the random variable X?
A)0, 1, 2, 3, 4, 5, 6
B)-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
C)0, 1, 2, 3, 4, 5
D)1, 2, 3, 4, 5

Question

Determine the possible values of the random variable.
-Suppose that two balanced dice are rolled. Let X denote the absolute value of the difference of the two numbers. What are the possible values of the random variable X? 
A)0, 1, 2, 3, 4, 5, 6
B)-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
C)0, 1, 2, 3, 4, 5
D)1, 2, 3, 4, 5

Quizplus · Accepted Answer

Since X is the absolute value of the difference between the numbers on two dice, the smallest difference is 0 (when both dice show the same number) and the largest possible difference is 5 (between 1 and 6). Negative differences are not possible because the absolute value converts them into positive numbers.

Determine the Possible Values of the Random Variable