Now tutoring virtually and in Courtenay, BC (I'M CURRENTLY NOT TAKING NEW STUDENTS)
Below I have posted some resources that I hope you find useful in your studies! Mostly they're session recordings from tutoring people in the class.
Spring 2013
Course Outline given
The course will be based on topics from the first 8 chapters of Ross's text.
1. Some elementary combinatorics. Combinations and permutations (Ch. 1)
Video on Combinatorics - Skip the first little bit of video until I talk about the number of ways to rearrange letters. This video covers the basics of permutations (the number of ways to rearrange stuff).
2. Sample spaces, events, axioms of probability (Ch. 2)
3. Conditional probabilities, independence and Bayes Formula (Ch. 3)
4. Discrete random variables (Ch. 4) and Continuous random variables (Ch. 5)
5. Joint distributions, marginal distributions and conditional distributions (Ch. 6)
6. Expectation: sums, covariance, moment generating functions (Ch. 7)
7. Limit Theorems: weak law of large numbers, central limit theorem (Ch. 8)
Problems - copied from course website
Homework assignment 1 Solutions
Homework assignment 2 Solutions
Homework assignment 3 Solutions
Homework assignment 4 Solutions
Homework assignment 5 Solutions
Homework assignment 6 Solutions
Practice Midterm not to be submitted.
Solutions to Practice Midterm
Extra practice problems, not to be submitted.
Midterm, Solutions
Homework assignment 7 Solutions
Homework assignment 8 Solutions
HW8 No 2 - A Conditional Probability Approach to calculating Prob(X < Y). The other approach is to use the joint density function.
Homework assignment 9 Solutions
HW9 No 2 - Video explains what covariance is, and how to use the independence of added random variables to more easily calculate it.
Homework assignment 10
Practice Final 1
Question 1 b
2013 04 13 - Sample Exam 1, 1b
Question 2 a&b
2013 04 13 - Sample Exam 1, 2ab
Question 3 b
2013 04 13 - Sample Exam 1, 3b
Question 5 a&c
Practice Final 2
Extra practice problems II, not to be submitted.