Introduction to Probability and Statistics

This chapter is very important. It introduces the Axioms probability and various concepts such as events, sample spaces etc.

• Outcomes, Events and Probability

This chapter introduces conditional probability, multiplication rule, Law of Total Probability, Bayes Theorem and Independence.

• Conditional Probability and Indepenance

• Discrete Random Variables

• Continuous Random Variables

• Expectaion and Variance

• Computations with Random Variables

• Joint Probability Distributions

• Covariance and Correlation

• Law of Large Numbers

• Central Limit Theorem

• Statistical Models

• Unbiased Estimators

• Maximum Likelihood

• Simple Linear Regression

• Confidence Interavals for the Mean