1. Probability 1.1 Properties of Probability1.2 Methods of Enumeration1.3 Conditional Probability1.4 Independent Events1.5 Bayes' Theorem 2. Discrete Distributions 2.1 Random Variables of the Discrete Type2.2 Mathematical Expectation2.3 Special Mathematical Expectations2.4 The Binomial Distribution2.5 The Hypergeometric Distribution2.6 The Negative Binomial Distribution2.7 The Poisson Distribution 3. Continuous Distributions 3.1 Random Variables of the Continuous Type3.2 The Exponential, Gamma, and Chi-Square Distributions3.3 The Normal Distribution3.4 Additional Models 4. Bivariate Distributions 4.1 Bivariate Distributions of the Discrete Type4.2 The Correlation Coefficient4.3 Conditional Distributions4.4 Bivariate Distributions of the Continuous Type4.5 The Bivariate Normal Distribution 5. Distributions of Functions of Random Variables 5.1 Functions of One Random Variable5.2 Transformations of Two Random Variables5.3 Several Independent Random Variables5.4 The Moment-Generating Function Technique5.5 Random Functions Associated with Normal Distributions5.6 The Central Limit Theorem5.7 Approximations for Discrete Distributions5.8 Chebyshev's Inequality and Convergence in Probability5.9 Limiting Moment-Generating Functions 6. Point Estimation 6.1 Descriptive Statistics6.2 Exploratory Data Analysis6.3 Order Statistics6.4 Maximum Likelihood and Method of Moments Estimation6.5 A Simple Regression Problem6.6 Asymptotic Distributions of Maximum Likelihood Estimators6.7 Sufficient Statistics6.8 Bayesian Estimation 7. Interval Estimation 7.1 Confidence Intervals for Means7.2 Confidence Intervals for the Difference of Two Means7.3 Confidence Intervals for Proportions7.4 Sample Size7.5 Distribution-Free Confidence Intervals for Percentiles7.6 More Regression7.7 Resampling Methods 8. Tests of Statistical Hypotheses 8.1 Tests About One Mean8.2 Tests of the Equality of Two Means8.3 Tests for Variances8.4 Tests About Proportions8.5 Some Distribution-Free Tests8.6 Power of a Statistical Test8.7 Best Critical Regions8.8 Likelihood Ratio Tests 9. More Tests 9.1 Chi-Square Goodness-of-Fit Tests9.2 Contingency Tables9.3 One-Factor Analysis of Variance9.4 Two-Way Analysis of Variance9.5 General Factorial and 2k Factorial Designs9.6 Tests Concerning Regression and Correlation9.7 Statistical Quality Control APPENDICES A. References B. Tables C. Answers to Odd-Numbered Exercises D. Review of Selected Mathematical Techniques D.1 Algebra of SetsD.2 Mathematical Tools for the Hypergeometric DistributionD.3 LimitsD.4 Infinite SeriesD.5 IntegrationD.6 Multivariate Calculus Index

Hallmark features of this title Balanced coverage of probability and statistics: Chapters 1-5 focus on probability and probability distributions. This section of the text is also particularly helpful for actuarial students studying for actuary exams.Chapters 6-9 emphasize statistics and statistical inference, including estimation, Bayesian estimation and more.Application-oriented content features real-world scenarios with applications in the areas of biology, economics, health, sociology and sports.Historical vignettes outline the origin of the greatest accomplishments in the field of statistics.All data sets are available at the Pearson Math & Stats Resources website for use with most statistical software; enhanced figures from the text and Maple examples are also available.

New and updated features of this title Approximately 25 new examples and more than 75 new exercises have been added.A new section (Section 2.5) on the hypergeometric distribution is provided, adding to material previously scattered throughout the first and second chapters.Discussion of new topics includes the index of skewness and the laws of total probability for expectations and the variance.New material has been added on the topics of percentile matching and the invariance of maximum likelihood estimation.A new section on hypothesis testing for variances also includes confidence intervals for a variance and for the ratio of two variances.