Introduction to Probability

1. Probability Models: Definitions and Examples. 2. The Algebra of Events and Probabilities. 3. Probability Distributions. 4. Expected Values. 5. Functions of Random Variables. 6. Normal Distributions and the Central Limit Theorem. 7. Some Important Distributions on the Nonnegative Integers. 8. Some Important Absolutely Continuous Distributions. 9. Conditioning and Baye's Theorem for Random Variables. Suggested Reading and Bibliography. Appendix A. Review of Some Topics From Calculus and Set Theory. Appendix B. Summaries of Commonly-used Distributions. Appendix C. A Table of the Standard Normal Cumulative Distribution Function.