梁保松、曹殿立主编的《概率论(英文版全国高等农林院校十一五规划教材)》是培养学生利用随机思维模式看待和处理随机现象的一门重要数学基础课程。 通过模拟、函数计算及程序调用，把Excel工具广泛使用于概念的引进和数值计算，帮助学生形象理解新概念，直达核心处理思想。

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

2.1.1 The Background and Definition of Random Variables

2.1.2 Distribution Functions of Random Variables

 2.2 Discrete Random Variables

2.2.1 Discrete Random Variables and Laws of Distribution

2.2.2 Common Discrete Random Variables and Distributions

2.2.3 Selecting Reading

 2.3 Continuous Random Variables

2.3.1 Definition and Properties

2.3.2 Common Distributions of Continuous Random Variables

2.3.3 Selecting Reading

 2.4 Distributions of Functions of Random Variables

2.4.1 Distributions of Functions of the Discrete Random Variable

2.4.2 Distributions of Functions of the Continuous Random Variable

 Exercise 2

 General Exercise 2

Chapter 3 Multiple Random Variables and Distributions

 3.1 Two-Dimensional Variables and Joint Distributions

3.1.1 Joint Distribution Functions and Properties

3.1.2 Two-Dimensional Discrete Random Variables

3.1.3 Two-Dimensional Continuous Random Variables

 3.2 Marginal Distributions

3.2.1 Marginal Distributions of Two -Dimensional Discrete Random Variables

3.2.2 Marginal Distributions of Two -Dimensional Continuous Random Variables

 3.3 Independent Random Variables and Conditional Distributions

3.3.1 Independence of Two -Dimensional Random Variables

3.3.2 Selecting Reading

 Exercise 3

 General Exercise 3

Chapter 4 Numerical Characteristics of Random Variables

 4.1 Mathematical Expectation

4.1.1 Mathematical Expectation of Discrete Random Variables

4.1.2 Mathematical Expectation of Continuous Random Variables

4.1.3 Mathematical Expectation of Functions of the Random Variable

4.1.4 Properties of the Mathematical Expectation

 4.2 Variance

4.2.1 Definition of Variance

4.2.2 Variances of Common Distributions

4.2.3 Properties of Variance

4.2.4 Selecting Reading

 4.3 Covariance and Correlation Coefficients

4.3.1 Covariance

4.3.2 Corelation Coefficients

 Exercise 4

 General Exercise 4

Chapter 5 Law of Large Numbers and Central Limit Theorem

 5.1 Law of Large Numbers

 5.2 Central Limit Theorem

 Exercise 5

 General Exercise 5

TABLE 1 Table for Poisson Distribution

TABLE 2 Table for Standard Normal Distribution

Answers to Exercises

Bibliography