Preface
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 ExperimentsTwo or More Factors
Bibliography
Appendix A：Statistical Tables and Proofs
Appendix B：Answers to Odd—Numbered
Non．Review Exercises
Index
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