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E-raamat: Elementary Probability with Applications

(College of William and Mary, Williamsburg, Virginia, USA)
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 03-Nov-2016
  • Kirjastus: Chapman & Hall/CRC
  • Keel: eng
  • ISBN-13: 9781498771344
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Elementary Probability with ApplicationsSuurem pilt
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 03-Nov-2016
  • Kirjastus: Chapman & Hall/CRC
  • Keel: eng
  • ISBN-13: 9781498771344
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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 authors 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.

Arvustused

Praise for the First Edition:"It is desirable that all citizens have an elementary understanding of probability [ so] that they better appreciate the uncertainty that surrounds them. Anyone teaching such citizens should consider using this book because, through its applications, it conveys something of the power of probability." D.V. Lindley, Mathematical Gazette, November 2006

"This book was surprisingly refreshing and did a great job using real situations to motivate techniques for calculating discrete probabilities." Technometrics, August 2006

"The problems are graded from fairly straightforward to very challenging and the book is, for this reason at least, a welcome addition to the literature." MAA Reviews, October 2005

"This book would be excellent for a minicourse at a higher level of high school as well as a semester course at the college level." Larry White, National Council of Teachers of Mathematics (NCTM), October 2005

"The chosen approach is practical and entertaining. The book is a useful tool for teachers and anybody interested in basic ideas and applications of classical probability theory." EMS Newsletter, June 2005

Preface vii
Acknowledgments ix
1 Basic Concepts in Probability
1(22)
1.1 Sample Spaces, Events, and Probabilities
1(4)
1.2 Simulations
5(2)
1.3 Complementary Events and Mutually Exclusive Events
7(2)
1.4 Some Probability Rules
9(6)
1.5 Problem Solving
15(3)
1.6 Problems
18(5)
2 Conditional Probability and the Multiplication Rule
23(16)
2.1 Conditional Probability
23(2)
2.2 Multiplication Rule
25(9)
2.3 Problems
34(5)
3 Independence
39(22)
3.1 Independence
39(11)
3.2 A Technique for Finding P(A or B or C or ...)
50(5)
3.3 Problems
55(6)
4 Combining the Addition and Multiplication Rules
61(18)
4.1 Combining the Addition and Multiplication Rules
61(3)
4.2 Bayes' Formula
64(4)
4.3 Trees
68(5)
4.4 Problems
73(6)
5 Combining the Addition and Multiplication Rules---Applications
79(20)
5.1 Simpson's Paradox
79(2)
5.2 Randomized Response Designs
81(5)
5.3 Applications in Cryptology
86(4)
5.4 Hardy-Weinberg Principle
90(4)
5.5 Problems
94(5)
6 Random Variables, Distributions, and Expected Values
99(10)
6.1 Random Variables, Distributions, and Expected Values
99(7)
6.2 Problems
106(3)
7 Joint Distributions and Conditional Expectations
109(18)
7.1 Joint Distributions
109(2)
7.2 Independent Random Variables
111(6)
7.3 Conditional Distributions
117(2)
7.4 Conditional Expectations
119(5)
7.5 Problems
124(3)
8 Sampling without Replacement
127(18)
8.1 Counting Formula
127(2)
8.2 Probabilities for Sampling without Replacement
129(11)
8.3 Problems
140(5)
9 Sampling with Replacement
145(16)
9.1 Binomial Model
145(13)
9.2 Problems
158(3)
10 Sampling with Replacement Applications
161(14)
10.1 Binomial Model Applications
161(11)
10.2 Problems
172(3)
11 Binomial Tests
175(8)
11.1 Introduction
175(1)
11.2 Binomial Tests
176(4)
11.3 Problems
180(3)
Appendix 183(6)
Short Answers to Selected Exercises 189(10)
Bibliography 199(6)
Index 205
Larry Rabinowitz taught mathematics and probability in the mathematics department at The College of William and Mary for over 30 years.
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