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1 Introduction to Probability
- 1.1 Introduction: Why Study Probability?
- 1.2 The Different Kinds of Probability
- 1.3 Misuses, Miscalculations, and Paradoxes in Probability
- 1.4 Sets, Fields, and Events
- 1.5 Axiomatic Definition of Probability
- 1.6 Joint, Conditional, and Total Probabilities; Independence
- 1.7 Bayes’ Theorem and Applications
- 1.8 Combinatorics 38
- 1.9 Bernoulli Trials–Binomial and Multinomial Probability Laws
- 1.10 Asymptotic Behavior of the Binomial Law: The Poisson Law
- 1.11 Normal Approximation to the Binomial Law
2 Random Variables