This is an attempt. Things may change as we go. The numbers represents the section and subsection of the textbook:
Chapter 2: Law of Large Numbers and Simulation
- LLN for probabilities
- Basic probability concepts -(Sample Spaces with Equally Likely Outcomes)
- Expected Value and the LLN
Chapter 4: Rare events and lotteries
- Binomial distribution
- Poisson distribution
Chapter 5: Probability and Statistics
- Normal Curve
- Concept of Standard deviation
- Square-root law
- Central Limit Theorem
- Graphical Illustration of CLT
- Statistical applications
- Confidence intervals for simulations
Chapter 7: Foundations of Probability Theory
- Probabilistic Foundations
- Compound chance experiments
- Basic Rules
Chapter 6: Chances trees and Bayes’ rule
- Monty Hall dilemma
- Test Paradox
Chapter 8: Conditional Probability and Bayes
- Conditional Probability
- Law of Conditional Probability
Chapter 9: Basic rules for discrete random variables
- Random Variables
- Expected value
- Expected value of sums
- Substitution rule and variance
- Independence
Chapter 10: Continuos Random Variables
- Concept of density
- Expected value
