6.041 | Spring 2006 | Undergraduate

Probabilistic Systems Analysis and Applied Probability


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


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)

Course Info

As Taught In
Spring 2006
Learning Resource Types
Simulation Videos
Problem Sets with Solutions
Exams with Solutions
Lecture Notes