1 Introduction to Statistics and Probability 1.1 Overview: Statistical Inference, Samples, Populations, and the Role of Probability 1.2 Sampling Procedures; Collection of Data 1.3 Discrete and Continuous Data 1.4 Probability: Sample Space and Events Exercises 1.5 Counting Sample Points Exercises 1.6 Probability of an Event 1.7 Additive Rules Exercises 1.8 Conditional Probability, Independence, and the Product Rule ... Exercises 1.9 Bayes' Rule Exercises Review Exercises 2 Random Variables, Distributions,and Expectations 2.1 Concept of a Random Variable 2.2 Discrete Probability Distributions 2.3 Continuous Probability Distributions Exercises 2.4 Joint Probability Distributions Ex.ercises 2.5 Mean of a Random Variable Exercises 2.6 Variance and Covariance of Random Variables Exercises t 2.7 Means and Variances of Linear Combinations of Random Variables Exercises Review Exercises 2.8 Potential Misconceptions and Hazards;Relationship to Material in Other Chapters 3 Some Probability Distributions 3.1 Introduction and Motivation 3.2 Binomial and Multinomial Distributions Exercises 3.3 Hypergeometric Distribution Exercises 3.4 Negative Binomial and Geometric Distributions 3.5 Poisson Distribution and the Poisson Process Exercises 3.6 Continuous Uniform Distribution 3.7 Normal Distribution 3.8 Areas under the Normal Curve 3.9 Applications of the Normal Distribution Exercises 3,10 Normal Approximation to the Binomial Exercises 3.11 Gamma and Exponential Distributions 3.12 Chi-Squared Distribution Exercises Review Exercises 3.13 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters 4 Sampling Distributions and Data Descriptions 4.1 Random Sampling 4.2 Some Important Statistics Exercises 4.3 Sampling Distributions 4.4 Sampling Distribution of Means and the Central Limit Theorem Exercises 4.5 Sampling Distribution of S2 5 One―and Two-Sample Estimation Problems 6 One―and Two-Sample Tests of Hypotheses 7 Linear Regression 8 One-Factor Experiments：General 9 Factorial Experiments(Two or More Factors) Bibliography Appendix A：Statistical Tables and Proofs Appendix B：Answers to Odd―Numbered Non．Review Exercises Index
