Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous.
X = The number of times a die is thrown until a 3 appears.

A) X may assume the values of any positive integer. The random variable is finite discrete.
B) X may assume the values of any positive integer. The random variable is continuous.
C) X may assume the values in the set S = {1, 2, 3, 4, 5, 6}. The random variable is finite discrete.
D) X may assume the values of any positive integer. The random variable is infinite discrete.

Question

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. ​
X = The number of times a die is thrown until a 3 appears.
​
A) X may assume the values of any positive integer. The random variable is finite discrete.
B) X may assume the values of any positive integer. The random variable is continuous.
C) X may assume the values in the set S = {1, 2, 3, 4, 5, 6}. The random variable is finite discrete.
D) X may assume the values of any positive integer. The random variable is infinite discrete.

Quizplus · Accepted Answer

The random variable X can take any positive integer value, so it is not limited to a finite set of numbers. Therefore, it is not finite discrete. Additionally, X only takes on integer values, so it is not continuous. X is therefore an infinite discrete random variable. The correct choice is D.

Give the Range of Values That the Random Variable X