Rhea Section for ECE302, Professor Boutin, Spring 2013

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

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):

1, 2, 3, 4,5, 6, 7,8,9,10,11

• Week(5-8)

12,13,14,15,16,17,18,19,20,21,22,23

• Week(9-12) <Week 10- Spring Break!>

24,25,26,27,28,29,30,31,32

• Week(13-16)

33,34,35,36,37,38,39,40,41,42,43,44

• Week(17) Final Exam Week

Collectively Solved Practice Problems

• Definition of a set
  • Do these signals form a set?
• Set operations
  • Union of two sets
  • Union of two sets (again)
• Conditional Probability
  • Explain the Monty Hall problem using conditional probability
• Discrete Random Variables
  • Normalizing the probability mass function of a discrete random variable
• 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
  • the stationary increment property of a sum process

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)

Homework

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

Homework Discussion and Solutions

• HW1_solution
• HW2_solution
• HW3_solution
• HW4_solution
• HW6_solution
• HW7_solution

Relevant Resources

• Practice Problems on Probability
• Rhea's Collective Table of Formulas.
  • Probability Formulas
  • Probability Distributions
• A tutorial on Counting Partitions or Subsets, by Math Squad member Steve Mussmann
  • examples of counting problems
  • practice problems
• A tutorial about Bayes' Theorem, by Math Squad member Maliha Hossain
  • Example 1: Quality Control
  • Example 2: False Positive Paradox
  • Example 3: Monty Hall Problem

Honors Projects

• Oluwatosin Adeosun

Your turn! Bonus Point opportunities

Exercises

1. Invent a problem on conditional probability or independence and share it with your classmates (0.5% course grade bonus)
2. Find a mistake in your classmates' solutions (0.5% course grade bonus)
3. Invent a problem on expectation and/or variance of a discrete random variable (0.5% course grade bonus)
4. Share your solution of hw 5 (0.5% course grade bonus)
5. 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.

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