Math 447   -    Probability Theory, Section 1   -    Spring 2025  

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Last update: March 6, 2025 - 3:25 PM
NOTE that this document specifically pertains to Section 1 of the course!
Visit this page frequently for important changes and additions!


Course Material for Section 1 of Math 447

   
REQUIRED: Lecture Notes for Math 447 - Probability by Michael Fochler (your instructor)
   
  1. This document is work in progress and will be modified as the course unfolds.
  2. Older editions of the document will eventually be deleted. You can find them posted in reverse chronological order in this table:

    2025-03-06 version       Addenda to chapter 9: Approximating a binomial distribution with a Poisson distribution
    2025-03-04 version Created examples for binomial, geometric, negative binomial, hypergeometric, and Poisson distributions in the addenda to chapter 9.
    2025-02-20 version       Created exercise with solution for quiz 1, problem 4 in new section 2.9.2 (Other Exercises) of chapter 2. in the title of ch.8.
    2025-02-18 version Title change of ch.8.2: Removed "Random" from "Random Sampling and Urn Models With and Without Replacement" in the title of ch.8.
    2025-02-11 version       Replaces ver 2025-01-23: Minor fixes Do not print it (yet)!
    2025-01-23 version       Replaces ver 2025-01-20: Rewrote the Preimages section and moved it into ch.2 Do not print it (yet)!
    2025-01-20 version       Replaces ver 2025-01-19. Do not print it (yet)!
    2025-01-19 version Some updates and corrections, but more will be forthcoming soon. Do not print it (yet)!
    2024-11-24 version       First release for the Spring 2025 semester. There will be major changes for the upcoming semester.
    Do not print it (yet)! I expect to publish at least one new release before the start of the semester.

   
REQUIRED: Mathematical Statistics with Applications 7th Edition by Dennis Wackerly (Author), William Mendenhall (Author), Richard L. Scheaffer (Cengage) (the "WMS text" or just "WMS"):
   
NOT required: Cengage Webassign for WSM
   
  1. You have the option of buying an electronic version of the text that comes with WebAssign, but as far as I know, you lose access to everything after six months
  2. Since WebAssign is not required, you have the option of obtaining a used version.
  3. Should you take Math 448 at a later time, your instructor may use the same book and require WebAssign access to go with it.
   
Optional: Linear Algebra
    If you did not (yet) take a linear algebra class (not a requirement) and you want to know more about matrices than what you learned in Math 323, here is a good reference.
   
  1. The lecture notes from Paul Dawkins on linear algebra, available at https://www.cs.cornell.edu/courses/cs485/2006sp/LinAlg_Complete.pdf , have the advantage that they cost nothing.
   
Additional Links
    The list below is likely to grow as the semester progresses.
   
  1. Errors found in the non--MF course material:     •   WMS 7Ed errors
  2. Sample exam problems: Check this out: Practice exam for midterm 1 with solutions . I got this exam from Prof. Weisblatt and Haines. Ignore problem 6 (moment generating functions)! Note that my midterm will pose much easier questions! Also, you find a more detailed solution to #2 in the new chapter "Sample Problems for Exams" of my lecture notes.
  3. The Instructions for the first midterm can be found here . Be sure to review them!
  4. Formula collection for the SECOND MIDTERM can be found here .
  5. Solutions for selected quiz and exam problems:     •   Quiz 01-07 (quiz 7 solutions added on Mar 5)     •   Midterm 1