The probability workbook / Mary McShane-Vaughn.

Format:

Book

Author/Creator:

McShane-Vaughn, Mary, 1963- author.

Language:

English

Subjects (All):

Probabilities--Problems, exercises, etc.

Probabilities.

Physical Description:

1 online resource (591 pages)

Place of Publication:

Milwaukee, Wisconsin : ASQ Quality Press, [2017]

Summary:

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.

Contents:

Cover

Title Page

CIP data

Dedication

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 Configurations 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 Application Practice 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 Suit

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

4-7 Probability Mass Function Definition

4-8 Games Die and Coin

4-9 Graphs Probability Mass Function

4-10 Famous Problems The Lady Tasting Tea

4-11 Famous Problems Zipf's Law

4-12 Famous Problems Benford's Law

4-13 Expectation Probability Mass Function

4-14 Expectation Skewness and Kurtosis

4-15 Lottery Mega Millions

4-16 Expectation Bias and Variance of Estimators

4-17 Expectation Linear Combinations

4-18 Graphs Leptokurtic and Platykurtic

4-19 Graphs Kurtosis

4-20 Games Game Theory

4-21 Business Bid Pricing

4-22 Sampling Composite Samples

4-23 Expectation Expected Winnings

4-24 Games Sum of Two Dice

4-25 Games Sum of Two Dice

4-26 Application Practice Linear Combinations

4-27 Application Practice Linear Combinations

4-28 Business FICO Scores

4-29 Theorems Change of Variables

4-30 Theorems Change of Variables

4-31 Application Practice Cumulative Probability

4.2 The Discrete Uniform Distribution

4-32 Probability Mass Function Formula.

4-33 Application Practice Probability Mass Function

4-34 Application Practice Probability Mass Function

4-35 Expectation Discrete Uniform

4.3 The Binomial Distribution

4-36 Probability Mass Function Definition

4-37 Probability Mass Function Formula

4-38 Graphs Matching Distributions

4-39 Application Practice Probability Statement

4-40 Reliability Stress Test

4-41 Expectation Mean and Variance

4-42 Healthcare Emergency Department

4-43 Business Bank Loans

4-44 Statistical Process Control Go/No-Go

4-45 Statistical Process Control Go/No-Go

4-46 Statistical Process Control Electrical Switches

4-47 p-Value Stress Genes

4-48 Famous Problems The Problem of Points

4-49 Famous Problems The Lady Tasting Tea

4-50 Simulation Generating Binomial Observations

4-51 Statistical Process Control Deming's Red Bead Experiment

4-52 Simulation Project Deming's Red Bead Experiment Part 1

4-53 Simulation Project Deming's Red Bead Experiment Part 2

4-54 Simulation Project Deming's Red Bead Experiment Part 3

4.4 The Multinomial Distribution

4-55 Probability Mass Function Formula

4-56 Inspection Motors

4-57 Inspection Candy Colors

4-58 Elections Prediction

4-59 Hospitality and Tourism Airline Seats

4-60 Inspection Incoming Material

4-61 Academia Engineering Majors

4-62 Sampling The Bootstrap

4-63 Sampling The Bootstrap

4.5 The Hypergeometric Distribution

4-64 Probability Mass Function Formula

4-65 Probability Mass Function Domain

4-66 Probability Mass Function Domain

4-67 Graphs Matching Distributions

4-68 Expectation Mean and Variance

4-69 Application Practice Egg Problem

4-70 Games Cards

4-71 Inspection Acceptance Sampling

4-72 Healthcare Blood Types

4-73 Approximation Binomial-Hypergeometric

4-74 Approximation Binomial-Hypergeometric.

4-75 Inspection Acceptance Sampling.

Notes:

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

Description based on print version record.

Other Format:

Print version: McShane-Vaughn, Mary The Probability Workbook

ISBN:

9780873899987

OCLC:

1356002872