| 1 |
Basic Concepts I
- Introduction
- Why we study probability
- Two definitions of probability
- Basic set notation
- Probability models
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| 2 |
Basic Concepts II
- Axioms
- Total probability theorem
- Multiplication rule
- Conditional probability
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| 3 |
Independence and Bayes' Rule
- Independence/Dependence
- Conditional independence
- Bayes' rule
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| 4 |
Counting
- Permutations
- Combinations
- Partitions
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| 5 |
Discrete Random Variables
- Basic concepts
- Probability mass functions (PMF)
- Bernoulli random variable
- Binomial random variable
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| 6 |
Discrete Random Variables II
- Geometric random variable
- Poisson random variable
- Expectation/Mean
- Variance
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| 7 |
Catch Up and Advanced Topic
- Review of Weeks 1–6
- Markov chains
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| 8 |
Jeopardy!™
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