Preface
1 Randomness and Probability
2 Working with Probabilities
3 Interpreting Probabilities and “Expected” Values
4 Outcomes, Events, and Random Variables
5 Probability Models
6 Distributions of Random Variables (A Brief Introduction)
7 Conditioning
8 Probability Rules
9 Independence
10 Introduction to Simulation
11 Approximating Probabilities
12 Expected Values: Approximation and Some Properties
13 Variance and Standard Deviation
14 Covariance and Correlation
15 Equally Likely Outcomes and Counting Rules
16 Discrete Random Variables: Probability Mass Functions
17 Binomial Distributions
18 Negative Binomial Distributions
19 Poisson Distributions
20 Poisson Approximation
21 Continuous Random Variables
22 Probability Density Functions of Continuous Random Variables
23 Expected Values for Continuous Random Variables
24 Exponential Distributions
25 Normal Distributions
26 Expected Values of Linear Combinations of Random Variables
27 Statistical Estimation (From Probability to Statistics)
28 Maximum Likelihood Estimation
29 Bias of Estimators
30 Variance of Estimators
31 Mean Square Error of an Estimator
32 Central Limit Theorem
References
Appendices
- Summary of Some Common Distributions
- Percentiles for Normal Distributions (Empirical Rule)

STAT 305 Handouts

Author

Kevin Ross

Published

Feb 27, 2026

Preface

A selection of Handouts for STAT 305.