Calendar

WEEK # TOPICS
1

Basic concepts I

  • Introduction
  • Why we study probability
  • Two definitions of probability
  • Basic set notation
  • Probability models
2

Basic concepts II

  • Axioms
  • Total probability theorem
  • Multiplication rule
  • Conditional probability
3

Independence and Bayes' rule

  • Independence/Dependence
  • Conditional independence
  • Bayes' rule
4

Counting

  • Permutations
  • Combinations
  • Partitions
5

Discrete random variables

  • Basic concepts
  • Probability mass functions (PMF)
  • Bernoulli random variable
  • Binomial random variable
6

Discrete random variables II

  • Geometric random variable
  • Poisson random variable
  • Expectation/Mean
  • Variance
7

Catch up and advanced topic

  • Review of Weeks 1-6
  • Markov chains
8

Jeopardy!™

  • Jeopardy!
  • Last thoughts