Chapter 1 Classical Probability
1.1 Sample Space
1.2 Event
1.3 Counting Sample Points
1.3.1 Multiplication Rule
1.3.2 Permutations and Combinations
1.4 The Concept of Probability
1.5 The Axioms of Probability
1.6 Some Element Properties on Probability
1.7 Assignment of Probabilities
1.8 Calculating Probabilities for Unions and Complements ...
1.9 Conditional Probability
1.10 Independence
1.11 The Law of Total Probability
1.12 Bayes Rule
Exercises
Chapter 2 Discrete Random Variables
2.1 Random Variables
2.2 Discrete Probability Distribution
2.3 Distribution Functions for Random Variables
2.4 Expected Values
2.5 Functions of a Random Variable
2.6 Variance and Standard Deviation
Exercises
Chapter 3 Continuous Random Variables
3.1 Distribution Functions for Continuous Random Variables
3.2 Expected Values
3.3 Variance
3.4 Properties of Expected Values and Variances
Exercises
Chapter 4 Examples of Random Variables
4.1 Binomial Distribution
4.2 Properties of Binomial Distributions
4.3 Poisson Distributions
4.4 The Normal Distribution
4.5 Relationships Between Binomial and Normal Distributions
Exercises
Chapter 5 Descriptive Statistics
5.1 Measures of Central Tendency
5.2 Measures of Dispersion
5.3 Stem-andLeaf Plot
Exercises
Chapter 6 Sampling Theory
6.1 Sampling
6.2 Random Samples, Random Numbers
6.3 Population Parameters
6.4 Sample Statistics
6.5 Sampling Distributions
6.6 The Sample Mean
6.7 Sampling Distribution of Means
6.8 Sampling Distribution of Proportions
6.9 Sampling Distribution of Differences and Sums
6.10 The Sample Variance
Exercises
Chapter 7 Estimation
7.1 Unbiased Estimates and Efficient Estimates
7.2 Point Estimates and Interval Estimates
7.3 Method of Moments
7.4 Maximum Likelihood Estimators
7.5 Confidence Interval Estimates of Population Parameters
Exercises
Chapter 8 Hypothesis Test
8.1 Statistical Hypothesis
8.2 Tests of Hypothesis
8.3 Type I and Type 1] Errors and Level of Significance
8.4 Simple and Composite Hypotheses
8.5 Testing Hypotheses about the Mean of a Normal Distribution with Known Variance
8.6 P Value
Exercises
Bibliography

本书由一带一路沿线国家派来的交换学生所开设的概率论与数理统计课程所编写的讲义改编而成，采用全英文，内容分为8章，前四章介绍了概率论的基本原理，第五、六章介绍了描述统计学的基础知识，第七、八章介绍了在实际生活中相关问题的解决方案。