STA 256: Probability and Statistics I

Lecture Section One: LEC0101

University of Toronto Mississauga, Fall 2019

Instructor: Jerry Brunner

Lectures Tues. 1:10-3:00 in KN137 and Thursday 1:10-2:00 in DV 2074

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

Assignment 10 had missing pages. The problem has been fixed.

Test 3 averages are available underr Adjustments to marks on Term Tests.

Link to Test 3 solutions now works.

About the final exam: Discussion and hints

TA office hours (you can pick up Test 3)

Ali Takahashi Monday Dec. 9, 10am - 12pm
Karan Agarwal Thursday Dec. 12, 4:30-6:30pm
Anastasia Loginova Thursday Dec. 12, 11am - 12pm in DH 2070
Crendall Castro Thursday Dec. 12, 12 - 2pm in DH 2070
Marie-Louise Ferguson   Sunday Dec. 15, 6-8 pm
Dashvin Singh Wednesday Dec. 11, 3 - 5pm

Instructor office hours

Past tests and the 2018 exam:

2018 Test 1 PDF Solutions
2018 Test 2 PDF Solutions
2018 Test 3 PDF Solutions
2018 Final Exam   PDF Solutions
2019 Test 1 PDF Solutions
2019 Test 2 PDF Solutions
2019 Test 3 PDF Solutions

The instructors of the other sections may have also posted solutions to their tests and other useful material. It's worth a look; see the links to their sections below.

Links to the other lecture sections

Syllabus, including tutorial times and locations

Adjustments to marks on Term Tests

Formula Sheet

Assignments

  1. Assignment One (Calculus review): Questions will be taken up in tutorial during the week of Sept. 10th
  2. Assignment Two (Sets, Foundations and Counting Methods: Sections 1.2, 1.3 and 1.4): Questions will be taken up in tutorial during the week of Sept. 17th
  3. Assignment Three (Conditional Probability and Independence: Section 1.5): Questions will be taken up in tutorial during the week of Sept. 24th
  4. Assignment Four (Random variables, Discrete distributions: Sections 2.1-2.3): Questions will be taken up in tutorial during the week of Oct. 1st, and after by request.
  5. Assignment Five (Continuous random variables -- Section 2.4 in the text): Questions will be taken up in tutorial during the week of Oct. 22nd.
  6. Assignment Six (Distribution functions, functions of one random variable, and jointly distributed random variables -- Sections 2.5 and 2.7 in the text): Questions will be taken up in tutorial during the week of Oct. 29th.
  7. Assignment Seven (Conditional distributions, Independent random variables, and Transformations of Jointly Distributed Random Variables -- Sections 2.8 and 2.9 in the text): Questions will be taken up in tutorial during the week of Nov. 12th and later.
  8. Assignment Eight (Expected value, variance and covariance -- Sections 3.1-3.3 in the text)
  9. Assignment Nine (Moment-generating functions -- Section 3.4 in the text)
  10. Assignment Ten (Limiting probabilities -- Sections 4.2 and 4.4 in the text)

Lectures

  1. Sets: Notation and basic results
  2. Foundations of Probability
  3. Counting (Uniform Probability on Finite Spaces)
  4. Conditional probability and Independence
  5. Discrete Random Variables
  6. Continuous Random Variables
  7. Joint Distributions
  8. Conditional Distributions and Independent Random Variables
  9. Transformations of Jointly Distributed Random Variables
  10. Expected Value, Variance and Covariance
  11. Moment-generating functions
  12. Limiting probability

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.