Class material for STAT 394 (imported from Canvas)
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Syllabus394.pdf

README.md

STAT394-2017

Summer 2017 Class material for Probability I (imported from Canvas)

Math/Stat 394

Probability I, MWF 8:30 - 10:40 ARC 160

Textbook: A First Course in Probability (9th Edition) by Sheldon Ross

Syllabus

Intro lecture

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.

Schedule

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