The number of new cases of influenza in a particular county in a coming month is a discrete random variable.Group of answer choicesTrueFalse

Understanding the Question

We need to determine whether the number of new cases of influenza in a particular county in a coming month is considered a discrete random variable.

Definitions

1. Discrete Random Variable: A discrete random variable is one that can take on a countable number of distinct values. Examples include the number of students in a class, the number of cars sold, or the number of new cases of a disease in a specific time frame.
2. Continuous Random Variable: This type of variable can take on an infinite number of values within a given range and is not countable. Examples include height, weight, or temperature.

Analysis

In this scenario, the number of new cases of influenza is a countable quantity, as it is measured in whole numbers (you cannot have a fraction of a case). For instance, the number of new cases could be 0, 1, 2, and so on, which aligns perfectly with the definition of a discrete random variable.

Conclusion

Given the characteristics defined, the statement that the number of new cases of influenza in a particular county in a coming month is a discrete random variable is:

True.