Probability
Math 336
Brad Hartlaub
Fall 2022
Daily Agendas
- August 26
- August 29
- August 31
- September 2 - Problem Session
- September 5
- September 7 - Bayes Theorem handout
- September 9 - Problem Session
- September 12
- September 14
- September 16 - Problem Session
- September 19
- September 21
- September 23 - Problem Session
- September 26
- September 28
- September 30 - Complete Chapter 5 and Problem Session
- October 3 - Problem Session and Review
- October 5 - Exam #1
- October 10 - Discussion of Exam 1 solutions and Project 1 - Properties and applications of discrete random variables of interest to you
- October 12 - lab time for projects and consultations
- October 14 - Chapter 6
- October 17 - Project presentations
- Cem Tener and Mart Niehoff - Binomial options pricing
- Saad Nadeem and Leif Schaumann - Negative binomial distribution
- Viet Dang - Zipf's law and distribution
- October 21 - Project presentations
- Anthony Testa and Christopher Lee - Multinomial distribution
- Malcolm Gaynor and Gavin Youhui - Skellam distribution
- Jack Provenza and Vishad Onta - Hypergeometric distribution
- October 24 - Project Presentations
- Abdul Hafeez - Poisson distribution
- Day - Uniform distribution
- October 26 - Problem Session
- Luna Tang - Geometric distribution
- October 28 - Problem Session
- October 31
- November 2
- November 4 - Problem Session
- November 7
- November 9
- November 11 - Problem Session
- November 14
- November 16 - Problem Session
- November 18 - Exam #2 - you may use 3 note sheets (8.5" x 11") and statistical software
- November 28
- November 30
- December 2
- Jack Provenza and Saad Nadeem - Benford's law
- Cem Tener and Mart Niehoff - Central Limit Theorem and applications
- December 5
- December 7
- December 9
- Day - Monte Carlo integration
- December 14 - Final Exam from 6:30 until 9:30 PM
Homework Assignments
Your solutions must be submitted electronically to your Google Drive folder. You must submit a PDF of your solutions. For example, the name of the file for the first homework assignment should be HW1-yourname.PDF.
- HW #1 - PS on Friday, Sept. 2, written solutions are due on Monday, Sept. 5
- HW #2 - PS on Friday, Sept. 9, written solutions are due on Monday, Sept. 12
- HW #3 - PS on Friday, Sept. 16, written solutions are due on Monday, Sept. 19
- HW #4 - PS on Friday, Sept. 23, written solutions are due on Monday, Sept. 26
- HW #5 - PS on Friday, Sept. 30
- Project 1 - Properties and applications of discrete random variables of interest to you. Please send a short email message to me by Wednesday, October 12 at noon with the distribution(s) you will cover, the name of your partner, and your preferred presentation date (on or before October 19). Your presentation (PPT or PDF) should include appropriate applications of the distribution(s). You should include the probability generating function or the moment generating function and perhaps use the generating function to generate probabilities or moments. You should also use RStudio to illustrate appropriate probability calculations and conduct a simulation for at least one of your discrete distributions. Before your presentation you should create a folder on Google Drive and drop your files into the folder so that your peers can make use of your files. You may also want to challenge your peers to apply the distributons you have introduced or dicussed to some other interesting problems.
- HW #6 - PS on Friday, October 28, written solutions are due on Monday, Oct. 31
- HW #7 - PS on Friday, November 4, written solutions are due on Monday, Nov. 7
- HW #8 - PS on Friday, November 11, written solutions are due on Monday, Nov. 14
- HW #9 - PS on Wednesday, November 16
- HW #10 - These problems will not be collected, but I encourage you to look at them before the final exam
Exam Samples
- See our Google Drive folder
Interesting Links