Question

Classify the following as either a discrete random variable or a continuous random variable: the amount of time six randomly selected volleyball players play during a game?

1) Discrete random variable
2) Continuous random variable

Answer 1

The amount of time volleyball players play during a game is classified as a continuous random variable since playing time can be measured in infinitely many ways.

Step-by-step explanation:

The amount of time six randomly selected volleyball players play during a game is a continuous random variable. This is because time can be measured in infinitely many ways and does not simply count up in fixed, whole units.

Unlike discrete random variables, where values are countable, continuous random variables represent measurements that can take on any value within a given range. In the case of playing time, a player could play for 27.5 minutes, 33.333 minutes, or any other measurable amount of time, which is indicative of a continuous random variable.