Determine whether the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.
The attendance at games for a sports team
A)Discrete; Attendance is a random variable that is countable.
B)Continuous; Attendance is a random variable that must be measured.

Question

Determine whether the number line represents a discrete random variable or a continuous random variable. Explain your reasoning.
The attendance at games for a sports team 
A)Discrete; Attendance is a random variable that is countable. 
B)Continuous; Attendance is a random variable that must be measured.

Quizplus · Accepted Answer

The number line represents a set of distinct values that can be counted, which makes it a discrete random variable. The attendance at a game cannot be measured continuously, but rather it can only take on certain values (e.g. 0, 1, 2, 3, etc.). Therefore, option A is the best choice. The attendance at games for a sports team is countable, as it can be measured in whole numbers (e.g. 0, 1, 2, 3, etc.). Therefore, it is a discrete random variable.

Determine Whether the Number Line Represents a Discrete Random Variable