Book description
An essential guide to the concepts of probability theory that puts the focus on models and applications
Introduction to Probability offers an authoritative text that presents the main ideas and concepts, as well as the theoretical background, models, and applications of probability. The authors—noted experts in the field—include a review of problems where probabilistic models naturally arise, and discuss the methodology to tackle these problems.
A widerange of topics are covered that include the concepts of probability and conditional probability, univariate discrete distributions, univariate continuous distributions, along with a detailed presentation of the most important probability distributions used in practice, with their main properties and applications.
Designed as a useful guide, the text contains theory of probability, de finitions, charts, examples with solutions, illustrations, selfassessment exercises, computational exercises, problems and a glossary. This important text:
• Includes classroomtested problems and solutions to probability exercises
• Highlights realworld exercises designed to make clear the concepts presented
• Uses Mathematica software to illustrate the text’s computer exercises
• Features applications representing worldwide situations and processes
• Offers two types of selfassessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress.
Written for students majoring in statistics, engineering, operations research, computer science, physics, and mathematics, Introduction to Probability: Models and Applications is an accessible text that explores the basic concepts of probability and includes detailed information on models and applications.
Table of contents
 Cover
 Dedication
 Preface

1 The Concept of Probability
 1.1 Chance Experiments – Sample Spaces
 Group A
 1.2 Operations Between Events
 Group A
 Group B
 1.3 Probability as Relative Frequency
 1.4 Axiomatic Definition of Probability
 Group A
 Group B
 1.5 Properties of Probability
 Group A
 Group B
 1.6 The Continuity Property of Probability
 Group A
 Group B
 1.7 Basic Concepts and Formulas
 1.8 Computational Exercises
 1.9 Self‐assessment Exercises
 1.10 Review Problems
 1.11 Applications
 Key Terms

2 Finite Sample Spaces – Combinatorial Methods
 2.1 Finite Sample Spaces with Events of Equal Probability
 Group A
 Group B
 2.2 Main Principles of Counting
 Group A
 Group B
 2.3 Permutations
 Group A
 Group B
 2.4 Combinations
 Group A
 Group B
 2.5 The Binomial Theorem
 Group A
 Group B
 2.6 Basic Concepts and Formulas
 2.7 Computational Exercises
 2.8 Self‐Assessment Exercises
 2.9 Review Problems
 2.10 Applications
 Key Terms

3 Conditional Probability – Independent Events
 3.1 Conditional Probability
 Group A
 Group B
 3.2 The Multiplicative Law of Probability
 Group A
 Group B
 3.3 The Law of Total Probability
 Group A
 Group B
 3.4 Bayes' Formula
 Group A
 Group B
 3.5 Independent Events
 Group A
 Group B
 3.6 Basic Concepts and Formulas
 3.7 Computational Exercises
 3.8 Self‐assessment Exercises
 3.9 Review Problems
 3.10 Applications
 Key Terms

4 Discrete Random Variables and Distributions
 4.1 Random Variables
 4.2 Distribution Functions
 Group A
 Group B
 4.3 Discrete Random Variables
 Group A
 Group B
 4.4 Expectation of a Discrete Random Variable
 Group A
 Group B
 4.5 Variance of a Discrete Random Variable
 Group A
 Group B
 4.6 Some Results for Expectation and Variance
 Group A
 Group B
 4.7 Basic Concepts and Formulas
 4.8 Computational Exercises
 4.9 Self‐Assessment Exercises
 4.10 Review Problems
 4.11 Applications
 Key Terms

5 Some Important Discrete Distributions
 5.1 Bernoulli Trials and Binomial Distribution
 Group A
 Group B
 5.2 Geometric and Negative Binomial Distributions
 Group A
 Group B
 5.3 The Hypergeometric Distribution
 Group A
 Group B
 5.4 The Poisson Distribution
 Group A
 Group B
 5.5 The Poisson Process
 Group A
 Group B
 5.6 Basic Concepts and Formulas
 5.7 Computational Exercises
 5.8 Self‐Assessment Exercises
 5.9 Review Problems
 5.10 Applications
 Key Terms

6 Continuous Random Variables
 6.1 Density Functions
 Group A
 Group B
 6.2 Distribution for a Function of a Random Variable
 Group A
 Group B
 6.3 Expectation and Variance
 Group A
 Group B
 6.4 Additional Useful Results for the Expectation
 Group A
 Group B
 6.5 Mixed Distributions
 Group A
 Group B
 6.6 Basic Concepts and Formulas
 6.7 Computational Exercises
 6.8 Self‐Assessment Exercises
 6.9 Review Problems
 6.10 Applications
 Key Terms

CHAPTER 7: Some Important Continuous Distributions
 7.1 The Uniform Distribution
 Group A
 Group B
 7.2 The Normal Distribution
 Group A
 Group B
 7.3 The Exponential Distribution
 Group A
 Group B
 7.4 Other Continuous Distributions
 Group A
 Group B
 7.5 Basic Concepts and Formulas
 7.6 Computational Exercises
 7.7 Self‐Assessment Exercises
 7.8 Review Problems
 7.9 Applications
 Key Terms
 Appendix A: Sums and Products
 Appendix B: Distribution Function of the Standard Normal Distribution
 Appendix C: Simulation
 Appendix D: Discrete and Continuous Distributions
 Bibliography
 Index
 End User License Agreement
Product information
 Title: Introduction to Probability.
 Author(s):
 Release date: May 2019
 Publisher(s): Wiley
 ISBN: 9781118123348
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