Chapter Guide
1 - Introduction
- Probability
- Statistics
- Counting concepts, Counting Theorems
2 - Probability
3 - Probability Distributions and Densities
- Random Variables
- Probability Distributions
- Probability Densities
- Multivariable Distributions
- Marginal Distributions
- Conditional Distributions
4 - Mathematical Expectation
- Mathematical Expectation
- Moments
- Chebyshev's Theorem
- Moment Generating Functions
- Product of Moments
- Moments of Linear Combinations
- Conditional Expectation
5 - Special Probability Distributions
- Discrete Uniform Distribution
- Bernoulli Distribution
- Binomial Distribution
- Negative Binomial Distribution
- Geometric Distribution
- Hypergeometric Distribution
- Poisson Distribution
- Multinomial Distribution
6 - Special Probability Densities
- Uniform Distribution
- Gamma Distribution
- Exponential Distribution
- Chi-Squared Distribution
- Beta Distribution
- Normal Distribution
7 - Sampling Distributions
- Distribution of the sample mean
- T distribution
- F distribution