VCE Together Mathematical Methods: Probability Density Functions

#### Mathematical Methods

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# Probability Density Functions

Probability Density Functions is a section of the VCE Maths Methods topic Probability and Statistics and subtopic Continuous Random Variables. Here we will understand and use the concepts of a probability density function of a continuous random variable. This includes the following:

• Know the two properties of a probability density function
• Define the probability as the area under the graph of the probability density function
• Examine simple types of continuous random variables and use them in appropriate contexts
• Explore properties of a random variable that is uniformly distributed
• Find the mode from a given probability density function

### So What is a PDF?

This video will introduce the idea of a probability density function.

This video explains how to construct a probability function for random variables.

The next video explains why continuous variables are important for probability distribution functions.

### Examples…

This video provides an application for PDF’s.

Want to learn more? Check out more of our VCE Mathematics resources here!

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