# Continuous Random Variables

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In the previous lesson, we defined random variables in general, but focused only on discrete random variables. In this lesson, we properly treat continuous random variables.

If for example X is the height of a randomly selected person in British Columbia, or X is tomorrow's low temperature at Vancouver International Airport, then X is a continuously varying quantity.

## What This Lesson Covers

In this lesson we discuss

• continuous random variables
• the cumulative distribution function
• the probability density function
• expectation, variance and standard deviation of a continuous random variable

Simply reading the content in this lesson will not be sufficient: students will need to complete a sufficient number of Exercises and WeBWorK problems in order to prepare themselves for the final exam.

Previous: 1.9 – Lesson 1 Summary

Next: 2.1 – The Cumulative Distribution Function