# Rhea Section for ECE302, Professor Boutin, Spring 2013

**MWF 12:30- 1:20pm in MSEE B012**

Message Area:

- Sample quizzes has been uploaded to help you to review the final exam!
- Homework 7 solution has been posted.

## Course Information

- Instructor: Prof. Mimi
- Office: MSEE 342
- Office hours are listed here.

- Teaching Assistant: Wei-Kang Hsu
- Email: hsu59 at purdue dot you know what
- Office hours: TF 2:00-4:00 pm EE209

- Schedule
- Course Syllabus
- Important Dates:
- Test 1: Friday February 8, 2013.
- Test 2: Wednesday April 3, 2013.
- Final: Wednesday May 1, 2013

## Textbook

Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Edition, by Alberto Leon-Garcia, Pearson Education, Inc., 2008, ISBN 0-13-601641-3

## Lecture Blog

- Week(1-4):

- Week(5-8)

- Week(9-12) <Week 10- Spring Break!>

- Week(13-16)

- Week(17) Final Exam Week

- Final exam is on Wednesday May 1, 1:00p - 3:00p STEW 130

## Collectively Solved Practice Problems

- Definition of a set
- Set operations
- Conditional Probability
- Discrete Random Variables
- Continuous random variables
- Normalizing the probability mass function of a Gaussian random variable
- Obtaining the joint pdf from the marginal pdfs of two independent variables
- Compute a probability
- Find the CDF
- Compute the mean
- Compute the zero-th order moment of a Gaussian
- Compute the first order moment of a Gaussian
- Compute the second order moment of a Gaussian
- Comparing probabilities for different Gaussians
- Compute the probability that a meeting will occur
- Find the conditional probability density function
- Find the conditional probability density function (again)
- Find the conditional probability density function (conditioned on an event this time)
- Determine if X and Y independent from their joint density
- Recover the pmf corresponding to this characteristic function
- Obtain the characteristic function of an exponential random variable
- pdf of Y=aX+b
- Various Questions about a 2D Gaussian

- Random Processes

## Quizzes

- Quiz 1 on the definition of a set
- Quiz 2 on proving De Morgan's law
- Quiz 3 set theoretic probability
- Quiz 4 Expectation of discrete random variable
- Quiz 5 cdf of Normal random variable (part1)
- Quiz 6 cdf of Normal random variable (part2)
- Quiz 7 Expectation of continuous random variable
- Quiz 8 Poisson Process

## Homework

- HW1
- HW2
- HW3
- HW4
- HW5
- HW6
- HW7 (Includes all practice problems assigned after the lecture-- see lecture blogs )

## Homework Discussion and Solutions

## Relevant Resources

- Practice Problems on Probability
- Rhea's Collective Table of Formulas.
- A tutorial on Counting Partitions or Subsets, by Math Squad member Steve Mussmann
- A tutorial about Bayes' Theorem, by Math Squad member Maliha Hossain

## Honors Projects

## Your turn! Bonus Point opportunities

## Exercises

- Invent a problem on conditional probability or independence and share it with your classmates (0.5% course grade bonus)
- Find a mistake in your classmates' solutions (0.5% course grade bonus)
- Invent a problem on expectation and/or variance of a discrete random variable (0.5% course grade bonus)
- Share your solution of hw 5 (0.5% course grade bonus)
- Explain the stationary increment property of sum processes (0.5% course grade bonus)

## Class Project

Students in ECE302 Spring 2013 have the opportunity to earn up to a 3% bonus by contributing a Rhea page on a subject related to probability. To pick a subject, simply write your name next to it. Your page will be graded based on content as well as interactions with other people (page views, comments/questions on the page, etc.). The number of links to other courses and subjects will also be taken into account: the more the merrier! Please do not simply copy the lecture notes and do not plagiarize. Read Rhea's copyright policy before proceeding.

Topic Number | Topic Description | Student Name/nickname |
---|---|---|

0 | Project Template | |

1 | Methods of generating random variables | Zhenming Zhang |

2 | Applications of Poisson Random Variables | Trevor Holloway |

3 | Something related to Exponential random variables | Name |

4 | Something related to Gaussian random variables | Name |

5 | Something related to the Estimation of random variables | Name |

6 | Automatic music composition project | Name |

7 | TF101 Slectures | Bob Wayner |

8 | Correlation vs. Covariance | Blue |