STA 256: Probability and Statistics I

Lecture Section One: LEC0101

University of Toronto Mississauga, Fall 2018

Instructor: Jerry Brunner

Lectures Tues. 12:10-2:00 and Thursday 1:10-2:00 in DV 2072

Note: This page is under construction, and will be updated frequently throughout the term.

Revised formula sheet is posted. One omission (the double expectation formula) and one typo (MGF for geometric) have been fixed. You will get this version with the final exam. Thanks to the students who caught these errors.

Test 2 and Test 3 solutions are posted below.

Assignment 10 is posted. This is just for the final exam.

Solution scan for sample questions on limits is posted.

Extra office hours for the final exam. You can go to anybody's office hours. Nan's office is DH 3097C, Thomas' office is DH 3097D and Jerry's office is DH 3028. Jerry's office hours may be in a classroom, location to be announced.

Links to the other lecture sections

Syllabus, including tutorial times and locations

Formula Sheet

Assignments

  1. Assignment One (Calculus review): Questions will be taken up in tutorial during the week of Sept. 10th.
  2. Assignment Two: Questions will be taken up in tutorial during the week of Sept. 17th.
  3. Assignment Three: Questions will be taken up in tutorial during the week of Sept. 24th.
  4. Assignment Four: Questions will be taken up in tutorial during the week of Oct. 15th.
  5. Assignment Five: Questions will be taken up in tutorial during the week of Oct. 22nd.
  6. Assignment Six: Questions will be taken up in tutorial during the week of Oct. 29th.
  7. Assignment Seven: Questions will be taken up in tutorial during the week of Nov. 12th.
  8. Assignment Eight: Questions will be taken up in tutorial during the week of Nov. 19th.
  9. Assignment Nine: Questions will be taken up in tutorial during the week of Nov. 26th.
  10. Assignment Ten: This is just for the final exam.

Lectures

  1. Sets (Notation and basic results)
  2. Foundations of Probability
  3. Counting methods
  4. Conditional Probability
  5. Independence
  6. Discrete Random Variables
  7. Continuous Random Variables
  8. Joint Distributions: Part One
  9. Joint Distributions: Part Two (Sections 3.4-3.6 in the text)
  10. Expected Value, Variance and Covariance: (Sections 4.1-4.4 in the text)
  11. Moment-generating functions: (Section 4.5 in the text)
  12. Limit Theorems: Chapter 5 in the text

Test Solutions

All course materials prepared by Jerry are licensed under a Creative Commons Attribution-ShareAlike 3.0 Unported License. Links to the source code appear above.