Ebook: Introduction to probability

1. Some Motivating Examples -- 2. Some Fundamental Concepts -- 3. The Concept of Probability and Basic Results -- 4. Conditional Probability and Independence -- 5. Numerical Characteristics of a Random Variable -- 6. Some Special Distributions -- 7. Joint Probability Density Function of Two Random Variables and Related Quantities -- 8. Joint Moment Generating Function, Covariance and Correlation Coefficient of Two Random Variables -- 9. Some Generalizations to k Random Variables, and Three Multivariate Distributions -- 10. Independence of Random Variables and Some Applications -- 11. Transformation of Random Variables -- 12. Two Modes of Convergence, the Weak Law of Large Numbers, the Central Limit Theorem, and Further Results -- 13. An Overview of Statistical Inference -- Appendix: Some Notation and Abbreviations -- Answers to the Even-Numbered Exercises -- Revised Answers Manual to Introduction to Probability -- Index.