Final answer:
The variable that can be represented by a continuous random variable is the Height of individuals in a population, as height is a measurable quantity that varies continuously.
Step-by-step explanation:
The correct answer to which option can be represented by a continuous random variable is B) Height of individuals in a population. This is because the height of individuals is not a countable number but a measurable quantity that can vary continuously within a given range.
Continuous random variables are those whose values are obtained by measuring rather than counting. They are represented by a probability density function rather than a probability mass function which is used for discrete random variables.
Example of Continuous Random Variable
The height of trees in a forest is an example of a continuous random variable as it can take on any value within a range and is measured.
Ambiguous Cases
It is important to note that how a random variable is defined affects whether it is considered discrete or continuous. For instance, the number of miles driven can be discrete while the distance driven could be continuous depending on the level of precision in the measurement.