Probability : an introduction with statistical applications / John J. Kinney.

Includes bibliographical references and index.

Includes bibliographical references (pages 388-389) and index.

Cover; Title Page; Copyright; Dedication; Preface for the First Edition; Historical Note; About the Text; For the Instructor; Preface for the Second Edition; Chapter 1: Sample Spaces and Probability; 1.1 Discrete Sample Spaces; 1.2 Events; Axioms of Probability; 1.3 Probability Theorems; 1.4 Conditional Probability and Independence; 1.5 Some Examples; 1.6 Reliability of Systems; 1.7 Counting Techniques; 1.8 Chapter Review; 1.9 PROBLEMS FOR REVIEW; Chapter 2: Discrete Random Variables and Probability Distributions; 2.1 Random Variables; 2.2 Distribution Functions. 2.3 Expected Values of Discrete Random Variables2.4 Binomial Distribution; 2.5 A Recursion; 2.6 Some Statistical Considerations; 2.7 Hypothesis Testing: Binomial Random Variables; 2.8 Distribution of A Sample Proportion; 2.9 Geometric and Negative Binomial Distributions; 2.10 The Hypergeometric Random Variable: Acceptance Sampling; 2.11 Acceptance Sampling (Continued); 2.12 The Hypergeometric Random Variable: Further Examples; 2.13 The Poisson Random Variable; 2.14 The Poisson Process; Chapter Review; Problems for Review; Chapter 3: Continuous Random Variables and Probability Distributions. 3.1 Introduction3.2 Uniform Distribution; 3.3 Exponential Distribution; 3.4 Reliability; 3.5 Normal Distribution; 3.6 Normal Approximation to the Binomial Distribution; 3.7 Gamma and Chi-Squared Distributions; 3.8 Weibull Distribution; Chapter Review; Problems For Review; Chapter 4: Functions of Random Variables; Generating Functions; Statistical Applications; 4.1 Introduction; 4.2 Some Examples of Functions of Random Variables; 4.3 Probability Distributions of Functions of Random Variables; 4.4 Sums of Random Variables I; 4.5 Generating Functions. 4.6 Some Properties of Generating Functions4.7 Probability Generating Functions for Some Specific Probability Distributions; 4.8 Moment Generating Functions; 4.9 Properties of Moment Generating Functions; 4.10 Sums of Random Variables-II; 4.11 The Central Limit Theorem; 4.12 Weak Law of Large Numbers; 4.13 Sampling Distribution of the Sample Variance; 4.14 Hypothesis Tests and Confidence Intervals for a Single Mean; 4.15 Hypothesis Tests on Two Samples; 4.16 Least Squares Linear Regression; 4.17 Quality Control Chart for; Chapter Review; Problems for Review. Chapter 5: Bivariate Probability Distributions5.1 Introduction; 5.2 Joint and Marginal Distributions; 5.3 Conditional Distributions and Densities; 5.4 Expected Values and the Correlation Coefficient; 5.5 Conditional Expectations; 5.6 Bivariate Normal Densities; 5.7 Functions of Random Variables; CHAPTER REVIEW; PROBLEMS FOR REVIEW; Chapter 6: Recursions and Markov Chains; 6.1 Introduction; 6.2 Some Recursions and their Solutions; 6.3 Random Walk and Ruin; 6.4 Waiting Times for Patterns in Bernoulli Trials; 6.5 Markov Chains; CHAPTER REVIEW; PROBLEMS FOR REVIEW.

John Kinney's new text takes a more modern and visual approach to Probability than any other text currently available. The use of computer algebra systems such as Mathematica, relieve the computational aspects of algebra and calculus. Students are able to focus more clearly on the meaning of results. The clear exposition and example problems allow this book to be used independent of the computer as well. The book integrates the most important applications of probability through a variety of fields using more than 800 worked examples and problems in the text. The problems are presented at various levels of difficulty allowing students to take on more challenging problems as their skill level increases. Professor Kinney places a strong emphasis on statistical analysis of data as an application of probability. Topics from statistics are integrated throughout the book and exercises accompany this material, with reliability, acceptance sampling, confidence intervals, hypothesis testing and simple linear regression all being covered in the book.