Summer 2017 Class material for Probability I (imported from Canvas)
This is the first quarter in a two (or possibly three) sequence in probability theory. This quarter we will cover probability axioms, combinatorics, conditional probability, statistical independence, discrete random variables, and some continuous random variables (depending on schedule). More specifically, we will cover chapters 1 – 4 and part of chapter 5 in the textbook although NOT necessarily in that order.
| Date | Material | Slides | Reading |
|---|---|---|---|
| 6/19 | Introduction, logistics, and combinatorics | Lec0, Lec1 | 1.1 - 1.5 |
| 6/21 | Combinatorics, sample space, and set theory | Lec2-1 | 2.1 - 2.2 |
| 6/23 | Axioms of probability | Lec2-2 | 2.3 - 2.5 |
| 6/26 | Examples | Lec2-3 | 2.5 - 2.7 |
| 6/28 | Conditional probabilities, and Bayes's rule | Lec3, balls_in_boxes | 3.1 - 3.2 |
| 6/30 | Independence | Lec4-1 | 3.3 - 3.4 |
| 7/3 | Random variables | Lec4-2 | 3.5 - 4.1 |
| 7/5 | Random variables and their distributions | Lec5-1 | 4.2, 4.6 |
| 7/7 | Expectation and variance | Lec5-2 | 4.3 - 4.5 |
| 7/10 | Poisson distribution | Lec5-3, Lec6-1 | 4.7 |
| 7/12 | Poisson distribution | Lec6-2 | 4.9 |
| 7/14 | Other distributions, sum of random variables | Lec6-3, Lec7 | 4.8 |
| 7/17 | Review | Lec8 | |
| 7/19 | Final exam |