Question

decide whether the graph represents a discrete random variable or a continuous random variable. explain your reasoning.

distance a baseball travels after being hit

does the graph represent a discrete or continuous random variable? choose the correct answer below.

a. discrete, because distance is a random variable that is countable
b. continuous, because distance is a random variable that is uncountable

Explanation:

Identify the nature of the variable

The variable is "Distance a baseball travels after being hit." Distance is a physical measurement that can take on any real value within an interval on a continuous scale (e.g., any value from 0 to a maximum physical limit, represented by the solid interval on the number line).

Classify the random variable type

Because the possible values of the variable form an interval of real numbers, the set of possible outcomes is uncountable. Therefore, the variable is continuous.

Answer:

• A. Discrete, because distance is a random variable that is countable
• B. Continuous, because distance is a random variable that is uncountable (Correct answer)