Probability
Math 336
Brad Hartlaub
Fall 2023

Course Syllabus

Google Drive Folder

R Commands

Daily Agendas

• August 25
• August 28
• August 30
• September 1 - Problem Session and Complete Chapter 1
• September 4
• September 6
• September 8 - Problem Session
• September 11
• September 13
• September 15 - Problem Session
• September 18
• September 20
• September 22 - Problem Session
• September 25
• September 27
• September 29 - No Class
• October 2 - Problem Session
• October 4 - Exam #1 - covering Chapters 1-5
• October 9 - Lab time for group projects
• October 11 - Discrete Random Variable Presentations
  • Taylor Womack and Beshoy Lowiz - Negative hypergeometric distribution
• October 13 - Discrete Random Variable Presentations
  • Andrew Pilat and Ryan Oscherwitz - Benford's Law
  • Kate Lengel and Casey Flueckiger - Poisson-Binomial distribution
• October 16 - Discrete Random Variable Presentations
  • Khue Tran and Christophe Leblanc - Poisson moment exponential distribution
  • Long Tran and Quang Nguyen - Conway-Maxwell Poisson distribution
  • Grace Dai and Hung Nguyen - Zero-truncated Poisson distribution
• October 18 - Discrete Random Variable Presentations
  • Adam Blum and Connor Dailey - Zipf distributions
  • Liam Rosengren and Parker Gibbons - Uniform distribution
  • Moe Belghith and Alex Wang - Multivariate hypergeometric distribution
• October 20 - Discrete Random Variable Presentations
  • Faiz Rasool and Alard Schroeder - Logarithmic distribution
  • Molly Smith and Junaid Fahim - Multinomial distribution
• October 23 - Discrete Random Variable Presentations
  • Cael Elmore and Max Kahn - Skellam distribution
  • Jackson Kennedy and Juan Sergio Matabuena - Poking holes in Poisson
• October 25
• October 27 - Problem Session
• October 30
• November 1
• November 3 - Problem Session
• November 6
• November 8
• November 10 - Problem Session
• November 13 - Problem Session
• November 15 - Continuous Probability Distribution Presentation - Bivariate normal distribution - "Modified Jeopardy"
  • Taylor Womack and Andrew Pilat - Continuous Bernoulli distribution
• November 17 - Exam #2 - covering Chapters 6-8
• November 27 - Continuous Probability Distribution Presentations
  • Beshoy Lowiz and Quang Nguyen - Frechet distribution
  • Khue Tran and Ryan Oscherwitz - Weibull distribution
• November 29 - Continuous Probability Distribution Presentations
  • Cael Elmore and Connor Dailey - Rayleigh distribution
  • Alard Schroeder and Moe Belghith - Triangular distribution
• December 1 - Continuous Probability Distribution Presentations
  • Molly Smith and Hung Nguyen - Maxwell-Boltzmann distribution
  • Adam Blum and Parker Gibbons - Logistic distribution
  • Casey Flueckiger and Kate Lengel - Kumaraswamy distribution
• December 4 - Continuous Probability Distribution Presentations
  • Grace Dai and Alex Wang - Cauchy distribution
  • Long Tran and Faiz Rasool - Erlang distribution
  • Christophe Leblanc and Jackson Kennedy - Gumbel distribution
• December 6 - Continuous Probability Distribution Presentations
  • Juan Sergio Matabuena and Max Kahn - Gompertz distribution
  • Liam Rosengren and Junaid Fahim - Pareto distribution
• December 8 - Individual meetings
• December 15 - Final exam from 1:30 pm until 4:30 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-Math336-yourname.PDF.

• HW #1 - PS on Friday, Sept. 1, written solutions are due on Monday, Sept. 4
• HW #2 - PS on Friday, Sept. 8, written solutions are due on Monday, Sept. 11
• HW #3 - PS on Friday, Sept. 15, written solutions are due on Monday, Sept. 18
• HW #4 - PS on Friday, Sept. 22, written solutions are due on Monday, Sept. 25
• HW #5 - PS on Friday, Sept. 29, written solutions are due on Monday, Oct. 2
• Project 1 - Properties and applications of discrete random variables of interest to you. Please send a short email message to me by Monday, October 11 at noon with the distribution(s) you will cover, the name of your partner, and your preferred presentation date (on or before October 20). 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 or other software 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. On the day of your presentation you should provide a one page handout that summarizes your presentation/distribution(s) for your peers. 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, Oct. 27, written solutions are due on Monday, Oct. 30
• HW #7 - PS on Friday, Nov. 3, written solutions are due on Monday, Nov. 6
• HW #8 - PS on Friday, Nov. 10 and Monday, Nov. 13, written solutions are due on Wednesday, November 15
• Project 2 - Properties and applications of continuous random variables of interest to you. Please send a short email message to me by Wednesday, November 15 at noon with the distribution(s) you will cover, the name of your partner, and your preferred presentation date (on or before December 6). Your presentation (PPT or PDF) should include appropriate applications of the distribution(s). You should include the p.d.f. and interesting applications of your distribution. You might want to include the c.d.f. or m.g.f. You may also use RStudio to illustrate appropriate probability calculations or conduct simulations for at least one of your continuous 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 #9

Exam Samples

• See our Google Drive folder !SampleExams

Interesting Links

• Random
• Mellon Project