Rabinowitz Elementary Probability with Applications, Second Edition

2. Auflage 2016
ISBN: 978-1-4987-7133-7
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 218 Seiten

Elementary Probability with Applications, Second Edition shows students how probability has practical uses in many different fields, such as business, politics, and sports. In the book, students learn about probability concepts from real-world examples rather than theory.

The text explains how probability models with underlying assumptions are used to model actual situations. It contains examples of probability models as they relate to:

- Bloc voting

- Population genetics

- Doubling strategies in casinos

- Machine reliability

- Airline management

- Cryptology

- Blood testing

- Dogs resembling owners

- Drug detection

- Jury verdicts

- Coincidences

- Number of concert hall aisles

- 2000 U.S. presidential election

- Points after deuce in tennis

- Tests regarding intelligent dogs

- Music composition

Based on the author’s course at The College of William and Mary, the text can be used in a one-semester or one-quarter course in discrete probability with a strong emphasis on applications. By studying the book, students will appreciate the subject of probability and its applications and develop their problem-solving and reasoning skills.

Autoren/Hrsg.

Rabinowitz, Larry

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Bayesianische Inferenz

Inhaltsverzeichnis

Basic Concepts in Probability
Sample Spaces, Events, and Probabilities
Simulations
Complementary Events and Mutually Exclusive Events
Some Probability Rules
Problem Solving
Problems

Conditional Probability and the Multiplication Rule
Conditional Probability
Multiplication Rule
Problems

Independence
Independence
A Technique for Finding P(A or B or C or …)
Problems

Combining the Addition and Multiplication Rules
Combining the Addition and Multiplication Rules
Bayes' Formula
Trees
Problems

Combining the Addition and Multiplication Rules—Applications
Simpson’s Paradox
Randomized Response Designs
Applications in Cryptology
Hardy–Weinberg Principle
Problems

Random Variables, Distributions, and Expected Values
Random Variables, Distributions, and Expected Values
Problems

Joint Distributions and Conditional Expectations
Joint Distributions
Independent Random Variables
Conditional Distributions
Conditional Expectations
Problems

Sampling without Replacement
Counting Formula
Probabilities for Sampling without Replacement
Problems

Sampling with Replacement
Binomial Model
Problems

Sampling with Replacement (Continued)
Binomial Model (Continued)
Problems

Binomial Tests
Introduction
Binomial Tests
Problems

Appendix

Short Answers to Selected Exercises

Bibliography

Index

Über Autor(innen)

Larry Rabinowitz taught mathematics and probability in the mathematics department at The College of William and Mary for over 30 years.