Preface Chapter 1 Random Events and ProbaDJlities 1.1 Random Events and the Operation 1.1.1 Certain and Random Phenomenon 1.1.2 Random Experiments 1.1.3 Random Events 1.1.4 Sample Space 1.1.5 Relations and Operations among Events 1.2 The Probabilty of Event 1.2.1 Classical Probability 1.2.2 Definition of Probability in Statistics 1.2.3 Geometric Type of Probability 1.2.4 Selecting Reading 1.3 Axiomatic Definition and Properties of Probability 1.4 Conditional Probability and the Multiplicative Formula 1.4. 1 Conditional Probability 1.4. 2 Multiplicative Formula 1.4. 3 Selecting Reading 1.5 Total Probability Formula and Bayes' Rule 1.5.1 Total Probability Formula 1.5.2 Bayes' Rule 1.6 Independence of Events 1.6.1 Independence of Two Events 1.6.2 Independence of Multiple Events 1.6.3 n- Fold Bernoulli Trials 1.6.4 Selecting Reading Exercise 1 General Exercise 1 Chapter 2 Random Variables and Probability Distributions 2.1 Random Variables …… Chapter 3 Multiple Random Variables and Distributions Chapter 4 Numerical Characteristics of Random Variables Chapter 5 Law of Large Numbers and Central Limit Theorem TABLE 1 Table for Poisson Distribution TABLE 2 Table for Standard Normal Distribution Answers to Exercises Bibliography
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