The Probability Workbook

Mary McShane-Vaughn

Description

The best way to master probability is to work problems-lots of them. Through repeated practice, formerly fuzzy concepts begin to make sense, and solution strategies become clear.
The Probability Workbook is a companion to The Probability Handbook, which covers counting techniques, probability rules, discrete probability distributions, and continuous probability distributions. This workbook offers more than 400 problems covering a wide range of probability techniques and distributions.
From poker problems, to famous problems by luminaries in the field such as Pascal, Fermat, Bertrand, Fisher, and Deming, this one-of-a-kind book gives detailed numerical solutions and explanations presented in a conversational way. There are general probability questions involving travel itineraries, baseball, and birth orders, as well as more real-world applications such as quality inspection, reliability, statistical process control, and simulation. Problems applicable to the manufacturing, healthcare, business, and hospitality and tourism industries are included.
For easy reference, each numbered problem in the workbook is categorized by broad topic area, and then by a more detailed, descriptive title. In addition to the topic and title, the level of difficulty is displayed for each problem using a die icon.
This workbook is an invaluable resource for the probability portions of ASQ's CQE, CSSGB, CSSBB, CSSMBB, and CRE exams.

Sujets

• Business
• Qualité, hygiène, sécurité, environnement
• Total Quality Management
• Gestion et management
• Economics

Informations

• Publié par: ASQ Quality Press
• Date de parution: 05 juin 2017
• Nombre de lectures: 1
• EAN13: 9780873899994
• Langue: English

Extrait

The Probability Workbook
Mary McShane-Vaughn
ASQ Quality Press Milwaukee, Wisconsin

Also available from ASQ Quality Press:
The Probability Handbook
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Statistics for Six Sigma Black Belts
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The ASQ CQE Study Guide
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The Quality Toolbox , Second Edition
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The Certified Six Sigma Green Belt Handbook , Second Edition
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The Certified Manager of Quality/Organizational Excellence Handbook , Fourth Edition
Russell T. Westcott, editor
The Certified Six Sigma Black Belt Handbook , Third Edition
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The ASQ Auditing Handbook , Fourth Edition
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To request a complimentary catalog of ASQ Quality Press publications, call 800-248-1946, or visit our website at http://www.asq.org/quality-press .

American Society for Quality, Quality Press, Milwaukee 53203
© 2017 by ASQ
All rights reserved. Published 2017
23 22 21 20 19 18 17 5 4 3 2 1
Library of Congress Cataloging-in-Publication Data
Names: McShane-Vaughn, Mary, 1963– | McShane-Vaughn, Mary, 1963– The probability handbook.
Title: The probability workbook / Mary McShane-Vaughn.
Description: Milwaukee, Wisconsin : ASQ Quality Press, 2017. | Includes bibliographical references and index.
Identifiers: LCCN 2017015067 | ISBN 9780873899574
Subjects: LCSH: Probabilities—Problems, exercises, etc.
Classification: LCC QA273.15 .M46 2017 | DDC 519.2—dc23
LC record available at https://lccn.loc.gov/2017015067
R729.8.A53 2010
610.28'9—dc22 2009052472
ISBN: 978-0-87389-957-4
No part of this book may be reproduced in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher.
Ray Zielke: Director, Quality Press and Programs
Paul Daniel O’Mara: Managing Editor
Randall L. Benson: Sr. Creative Services Specialist
ASQ Mission: The American Society for Quality advances individual, organizational, and community excellence worldwide through learning, quality improvement, and knowledge exchange.
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To place orders or to request ASQ membership information, call 800-248-1946. Visit our website at http://www.asq.org/quality-press .


To Caroline, who found her way to us despite long odds.
Table of Contents
Preface
Acknowledgments
Chapter 1 Introduction
Chapter 2 Learning to Count
2.1 Enumeration
2-1 Games Sum of Two Dice
2-2 Configurations Birth Order
2-3 Inspection Fan Assemblies
2-4 Games Coin Toss
2-5 Games Coin, Die, and Card Suit
2-6 Famous Problems The Lady Tasting Tea
2-7 Baseball World Series
2-8 Configurations The Seating Chart Conundrum
2-9 Travel Itineraries
2-10 Famous Problems Einstein’s Riddle
2.2 Factorials
2-11 Configurations Arranging Symbols
2-12 Configurations Choosing Passwords
2-13 Configurations Inspection
2-14 Travel Travelling Salesman
2-15 Configurations Designing Experiments
2-16 Theorems Sterling’s Formula
2-17 Ranking Automobiles
2.3 Permutations
2-18 Ranking Divisions
2-19 Configurations Arranging Letters
2-20 Lottery Daily Numbers Game
2-21 Configurations Inspection
2.4 Combinations
2-22 Elections School Board
2-23 Inspection Fan Assemblies
2-24 Inspection Packages
2-25 Application Practice Symmetry
2-26 Application Practice Symmetry
2-27 Lottery Daily Numbers Game
2-28 Famous Problems Pascal’s Triangle
2-29 Configurations Pizza Toppings
2.5 More Problems
2-30 Travel Travelling Salesman
2-31 Application Practice Combinations and Permutations
2-32 Configuration License Plates
2-33 Configurations License Plates
2-34 Configurations Telephone Numbers
2-35 Configurations Arranging Letters
2-36 Configurations Arranging Letters
2-37 Travel Road Trip
2-38 Healthcare Blood Types
2-39 Lottery State Lottery
2-40 Lottery Pick 5
2-41 Configurations Birth Order
2-42 Configurations Arranging Boxes
2-43 Inspection Tensile Test
2-44 Configurations Automobile
2-45 Configurations Birth Order
2-46 Application Practice Symmetry
2-47 Application Practice Symmetry
2-48 Configurations Nucleic Acid
2-49 Configurations Yogurt Shop
2-50 Configurations Choosing a Committee
2-51 Configurations Window Display
2-52 Configurations Lining Up
2-53 Application Practice Common Factorials
2-54 Poker Hands Royal Flush
2-55 Poker Hands Two Hearts
2-56 Poker Hands One Pair
2-57 Poker Hands Two Pair
2-58 Poker Hands Four of a Kind
Chapter 3 The Rules of the Game
3.1 Types of Data
3-1 Application Practice Data Types
3.2 Sampling
3-2 Sampling Methods
3-3 Sampling Pallets
3-4 Sampling U.S. Congress
3-5 Sampling Audit
3-6 Sampling The Bootstrap
3.3 Graphical Displays of Data
3-7 Graphs Histogram
3-8 Graphs Histogram
3-9 Graphs Histogram
3-10 Graphs Box-and-Whisker Plot
3-11 Graphs Box-and-Whisker Plot
3-12 Graphs Stem-and-Leaf Plot
3-13 Graphs Stem-and-Leaf Plot
3-14 Graphs Stem-and-Leaf Plot, Histogram
3-15 Graphs Dot Plot
3.4 Events, Trials, and Outcomes
3-16 Games Coin Toss
3-17 Configurations Birth Order
3-18 Inspection Fan Assemblies
3-19 Games Last Banana
3.5 Classical versus Empirical Probability
3-20 Application Practice Classical versus Empirical Probability
3-21 Poker Hands Royal Flush
3-22 Poker Hands Straight Flush
3-23 Poker Hands Flush
3-24 Poker Hands Three of a Kind
3-25 Simulation Bank Wait Times
3-26 Games Cards
3.6 Unions and Intersections
3-27 Sets Union, Intersection
3-28 Graphs Venn Diagram
3-29 Hospitality and Tourism Venn Diagram
3.7 Complement Rule
3-30 Games Die Toss
3-31 Inspection Yield
3-32 Poker Hands At Least One Pair
3.8 Independence
3-33 Application Practice Independence
3-34 Application Practice Independence
3-35 Application Practice Independence
3-36 Yield Throughput Yield
3.9 Mutually Exclusive Events
3-37 Application Practice Mutually Exclusive
3-38 Definition Mutually Exclusive Events
3.10 Calculating Odds
3-39 Predictions Horse Racing
3-40 Predictions Weather
3-41 Elections Prediction
3-42 Games Coin, Die, and Card
3.11 Conditional Probability
3-43 Inspection Pallets
3-44 Healthcare Blood Types
3-45 Games Sum of Two Dice
3-46 Games Sum of Two Dice
3-47 Sampling Socks in a Drawer
3-48 Healthcare Incidence of Lung Cancer
3-49 Business Venn Diagram
3-50 Lottery Mega Millions
3-51 Lottery Logic
3-52 Inspection Acceptance Sampling
3-53 p -Value Statistics
3.12 Multiplication Rule
3-54 Inspection Supplier Quality
3-55 Business Human Resources
3-56 Certification Testing
3-57 Certification Testing
3-58 Famous Problems The Lady Tasting Tea
3-59 Baseball World Series
3-60 Baseball World Series
3-61 Famous Problems The Problem of Points
3-62 Famous Problems The Problem of Points
3.13 Addition Rule
3-63 Games Sum of Two Dice
3-64 Hospitality and Tourism Marketing
3-65 Hospitality and Tourism Marketing
3.14 Law of Total Probability and Bayes’ Theorem
3-66 Inspection Glass Panels
3-67 Healthcare Hospital Admissions
3-68 Famous Problems The Strange Three Boxes
3-69 Healthcare Diagnostic Tests
3-70 Business Human Resources
3.15 More Problems
3-71 Lottery Mega Millions
3-72 Lottery Mega Millions
3-73 Lottery Mega Millions
3-74 Lottery Mega Millions
3-75 Lottery Mega Millions
3-76 Poker Hands Royal Flush
3-77 Elections Prediction
3-78 Elections Prediction
3-79 Sampling Socks in a Drawer
3-80 Sampling Socks in a Drawer
3-81 Inspection Parts in a Bin
3-82 Inspection Misclassification
3-83 Inspection Weld Integrity
3-84 Healthcare Disease Screening
3-85 Healthcare Disease Screening, Continued
3-86 Famous Problems Birthday Problem
3-87 Famous Problems Birthday Problem
3-88 Famous Problems Birthday Problem
3-89 Famous Problems The Monty Hall Problem
3-90 Famous Problems The Monty Hall Problem
3-91 Famous Problems The Monty Hall Problem
3-92 Famous Problems People v. Collins
3-93 Famous Problems Prosecutor’s Fallacy
3-94 Famous Problems The Prisoner’s Problem
3-95 Famous Problems Simpson’s Paradox
Chapter 4 Discrete Probability Distribution Problems
4.1 Probability Concepts for Discrete Random Variables
4-1 Probability Mass Function Definition
4-2 Games Sum of Two Dice
4-3 Games Sum of Two Dice
4-4 Games Coin Toss
4-5 Games Coin Toss
4-6 Probability Mass Function Definition