6.041 | Spring 2006 | Undergraduate

Probabilistic Systems Analysis and Applied Probability

Tools

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 (GIF
Normal Random Variables (GIF)

Adding Two Independent Random Variables, Convolution

Discrete Probability Mass Functions (GIF
Uniform Probability Mass Functions (GIF
Normal Probability Mass Functions (GIF)

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

Spring 2006
Exam Solutions
Exams
Lecture Notes
Problem Set Solutions
Problem Sets
Simulation Videos