Questions: A random variable has either a finite or a countable number of values.

Solution Steps

To solve this problem, we need to identify the type of random variable that can take on either a finite or a countable number of values. In probability theory, a discrete random variable is defined as one that can take on a finite or countable number of distinct values. Therefore, the correct term to fill in the blank is "discrete."

In probability theory, random variables can be classified into two main types: discrete and continuous. A discrete random variable is one that can take on a finite or countable number of distinct values. This is in contrast to a continuous random variable, which can take on an infinite number of values within a given range.

Given the options: "probability," "continuous," "required," and "discrete," we need to determine which term correctly describes a random variable with a finite or countable number of values. Based on the definitions, the term "discrete" fits this description.

Final Answer