Statistics I

1. Introduction to Probability

• 1.1 Sample Space
• 1.2 Events
• 1.3 Probability of an Event
• 1.4 Counting Techniques
• 1.5 Probability Rules
• 1.6 Conditional Probability and Multiplication
• 1.7 Independence
• 1.8 Total Probability
• 1.9 Bayes’ Rule
• Selected Exercises

2. Random Variables and Distribution Fundamentals

• 2.1 Random Variables: Discrete and Continuous
• 2.2 Discrete Probability Distributions
• 2.3 Continuous Probability Distributions
• 2.4 Mean and Expected Value
• 2.5 Variance and Standard Deviation

3. Discrete Probability Distributions

• 3.1 Recognizing Discrete Probability Models
• 3.2 Discrete Uniform Distribution
• 3.3 Binomial Distribution
• 3.4 Geometric Distribution
• 3.5 Negative Binomial Distribution
• 3.6 Hypergeometric Distribution
• 3.7 Poisson Distribution

4. Continuous Probability Distributions

• 4.1 Recognizing Continuous Probability Models
• 4.2 Continuous Uniform Distribution
• 4.3 Exponential Distribution
• 4.4 Standard Normal Distribution and z-Scores
• 4.5 Normal Distribution