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:

To determine if the random variable (distance a baseball travels) is discrete or continuous, we recall: Discrete random variables take countable values (like integers), while continuous random variables take uncountable values (any real number in an interval, e.g., distance can be 100.5 ft, 200.3 ft, etc.). The distance a baseball travels can be any real number in a range, so it's uncountable, making it a continuous random variable. Option B states this correctly.

Answer:

B. Continuous, because distance is a random variable that is uncountable