Question

decide whether the graph represents a discrete random variable or a continuous random variable.
the home attendance for football games at a university
does the graph represent a discrete or continuous random variable? choose the correct answer below.
home attendance is a random variable that is uncountable, so it is a continuous.
discrete, because home attendance is a random variable that is countable.

Explanation:

Analyze the nature of the variable

The variable is "The home attendance for football games at a university." Attendance represents a count of the number of people attending a game.

Determine if the variable is discrete or continuous

Counts of people can only take on distinct, separate integer values (e.g., 96,200, 97,200, 97,900). Because these values can be counted, the random variable is discrete.

Match with the correct option

The option "Discrete, because home attendance is a random variable that is countable." correctly identifies the variable type and the reasoning.

Answer:

• Home attendance is a random variable that is uncountable, so it is a continuous.
• Discrete, because home attendance is a random variable that is countable. (Correct answer)