# Tools

Special software is required to use some of the files in this section: .java, .m, .wmv, and .zip.

The simulation files and Java applets in this section were used to reinforce the probability concepts covered in the course.

## Applications

A Simple Radar Example (ZIP) (The ZIP file contains: 3 MatLab (2 .m and 1 .fig) files and 1 .txt file.)

A Communication Example: The Binary Symmetric Channel (Java)

## Cumulative Density Functions

Continuous Uniform Random Variables (WMV)

Normal Random Variables (WMV)

## Adding Two Independent Random Variables, Convolution

Discrete Probability Mass Functions (WMV)

Uniform Probability Mass Functions (WMV)

Normal Probability Mass Functions (WMV)

## Sum of a Random Number of Random Variables

Branching Process Simulation (ZIP) (The ZIP file contains: 2 MatLab (1 .m and 1 .fig) files and 1 .txt file)

## Limit Theorems

Die Experiment

Negative Binomial Experiment

Galton Board Experiment

## Markov Chains

Markov Process Demonstration

Birth-Death Process (Java)

Random Walk Experiment (Java)

M/M/m Queues (Java)