## Contents

# ECE 302: "Probabilistic Methods in Electrical and Computer Engineering ", Fall 2008 Professor Sanghavi

## Getting started

## Inserting Formulas

This is to address students not know how to put formulas into their wiki pages. MediaWiki uses a markup language based on Latex to produce it's mathematical equations. Anything that goes between the <math> </math> tags will be rendered as mathematical equations. All the symbols needed to produce the desired equations can be found at the following site.

- Using Latex in Rhea
- Comprehensive list of LaTeX commands (Note that some commands in the manual do not work within Rhea, but most do.)

Another handy way to learn how to write a math equation is to go to the real Wikipedia and find a good math article that has a bunch of formulas and just click "view source" or "edit".

## Homeworks

- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5
- Homework 6
- Homework 7
- Homework 8
- Homework 9
- Homework 10

## Lectures

- Lecture 5: Independence
- 10/27 Lecture: Merkov and Chebyshev Inequalities_ECE302Fall2008sanghavi
- 11/17 Map Estimation w/ Landis

## Cheat Sheets

## Helpful Examples

- Hillary and Barack, Lec. 3 on 8/29
- Disease testing, Lec. 3 on 8/29
- Switches, Lec. 5 on 9/8
- Average speed vs. average time, Lec. 7 on 9/12
- Car keys redistributed, Lec 10 on 9/19
- Coupon collection, Lec. 11 on 9/22
- Memoryless property of exponential, Lec 13 on 10/1
- When to arrive at the train station?_ECE302Fall2008sanghavi
- Finding area of a shape by random samples, Lec 14 on 10/3
- Conditional PDFs - random breaking of a stick, Lec 15 on 10/6_ECE302Fall2008sanghavi
- RV Coin Machine, Lec 17 on 10/10_ECE302Fall2008sanghavi
- Sum of independent x,y ~uniform(0,1) on 10/10_ECE302Fall2008sanghavi
- PMF of x coordinate when uniformly dist. in a triangle, Lec 15 on 10/6_ECE302Fall2008sanghavi
- Example for continuous Probability Distributions. Vivek_ECE302Fall2008sanghavi
- Example finding covariance of coin flips, Lec 10/15_ECE302Fall2008sanghavi
- Exam Review Example 10/20_ECE302Fall2008sanghavi
- Balls in Bins_ECE302Fall2008sanghavi
- Markov Inequality Example_ECE302Fall2008sanghavi
- Polls - Chebyshev Inequality_ECE302Fall2008sanghavi
- Unknown bias coin - Geometric Ex_ECE302Fall2008sanghavi
- ML Estimate for Exponential RV_ECE302Fall2008sanghavi
- ML Estimate for Continuous RV on 10/31_ECE302Fall2008sanghavi
- Estimator - coin w/ unknown bias_ECE302Fall2008sanghavi
- ML Extimate explanation_ECE302Fall2008sanghavi
- Confidence Interval Bernoulli RV_ECE302Fall2008sanghavi
- Confidence Interval Example 11/07/08_ECE302Fall2008sanghavi
- Confidence Interval Explanation_ECE302Fall2008sanghavi
- MSE Example_ECE302Fall2008sanghavi
- Linear MMSE Estimator Example (12/1)_ECE302Fall2008sanghavi
- Binary Hypothesis Testing (12/3)_ECE302Fall2008sanghavi
- Hypothesis testting example 12/8_ECE302Fall2008sanghavi
- More on Hypothesis Testing 12/8_ECE302Fall2008sanghavi

## Random Stuff

The Monty Hall video Sujay showed in class.

- Look! The students in MA375 are also studying this problem. They call it The game show host problem--Mboutin 11:23, 25 September 2008 (UTC)

The Athena Scientific page from which Introduction to Probability, 2nd Edition can be ordered.