The number of patrons arriving at a restaurant between 5:00 p.m. and 6:00 p.m is a continuous random variable.Group of answer choicesTrueFalse

Understanding the Question

The question asks whether the number of patrons arriving at a restaurant between a specific time frame is considered a continuous random variable.

Definition of Continuous Random Variable

A continuous random variable can take on an infinite number of possible values within a given range. In contrast, a discrete random variable can only take on specific, separate values.

Analysis

1. Assessment of the Variable:

   • The number of patrons is typically counted in whole numbers (0, 1, 2, 3, ...), which indicates that we are dealing with distinct values.

2. Conclusion on Continuity:

   • Since the number of patrons cannot be a fraction (you cannot have 2.5 patrons, for example), it does not meet the criteria for a continuous random variable.

Final Answer

The statement is False; the number of patrons arriving at a restaurant between 5:00 p.m. and 6:00 p.m. is a discrete random variable, not a continuous one.