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What Are the Chances?: Voodoo Deaths, Office Gossip, and Other Adventures in Probability

Using examples drawn from daily life and history, the author explains what probability is and how it works.Our lives are governed by chance. But what, exactly, is chance? In this book, accomplished statistician and storyteller Bart K. Holland takes us on a tour of the world of probability. Weaving together tales from real life—from the spread of the bubonic plague in medieval Europe or the number of Prussian cavalrymen kicked to death by their horses, through IQ test results and deaths by voodoo curse, to why you have to wait in line for rides at Disneyworld—Holland captures the reader's imagination with surprising examples of probability in action, everyday events that can profoundly affect our lives but are controlled by just one number.As Holland explains, even chance events are governed by the laws of probability and follow regular patterns called statistical laws. He shows how such laws are successfully applied, with great benefit, in fields as diverse as the insurance industry, the legal system, medical research, aerospace engineering, and climatology. Whether you have only a distant recollection of high school algebra or use differential equations every day, this book offers examples of the impact of chance that will amuse and astonish.

What Are the Chances?: Voodoo Deaths, Office Gossip, & Other Adventures in Probability

An “enjoyable [and] painlessly instructive” guide to probability, full of examples drawn from daily life and history(The Skeptic).Our lives are governed by chance. But what, exactly, is chance? In this book, statistician and storyteller Bart K. Holland takes us on a tour of the world of probability. Weaving together tales from real life?from the spread of the bubonic plague in medieval Europe and the number of Prussian cavalrymen kicked to death by their horses, through IQ test results and why you have to wait in line for rides at Disney World?Holland captures probability in action, and the everyday events that can profoundly affect our lives but are controlled by just one number.As Holland explains, even chance events are governed by the laws of probability and follow regular patterns called statistical laws. He shows how such laws are successfully applied, with great benefit, in fields as diverse as the insurance industry, the legal system, medical research, aerospace engineering, and climatology. Whether you have only a distant recollection of high school algebra or use differential equations every day, this book offers enlightening and entertaining examples of the impact of chance.“[An] excellent primer on probability . . . In a time when anecdote and panic seem to influence public policy more than objective analysis, Holland has provided a welcome reminder of the power of the analytical approach.” —Simon Singh, New Scientist

What Are the Odds?

Probability and odds are calculated by counting all the times something might happen and then how many times one particular outcome does happen.

What Banks Do with Money: Loans, Interest Rates, Investments... And Much More! (A True Book (Relaunch))

A series to build strong financial habits early on in life!Understanding how banks work - as well as the basics of loans and investments - are just two critical financial literacy skills that all kids should have. Did you know that banks use customers' deposits to make loans to other customers? Or that the Federal Reserve is the central bank of the United States? Learn all this and more in What Banks Do with Money - a book that introduces kids to banking.ABOUT THE SERIES:How can I make money? What is inflation? What is the difference between a debit card and a credit card? Economics - and more specifically, money - play such a large role in our lives. Yet there are many mysteries and misconceptions surrounding the basic concepts of finance and smart money management. This set of True Books offers students the know-how they'll need to start on the road to financial literacy-a crucial skill for today's world. Interesting information is presented in a fun, friendly way - and in the simplest terms possible - which will enable students to build strong financial habits early on in life.

What Children Need (The Family and Public Policy #6)

What do children need to grow and develop? And how can their needs be met when parents work? Emphasizing the importance of parental choice, quality of care, and work opportunities, economist Jane Waldfogel guides readers through the maze of social science research evidence to offer comprehensive answers and a vision for change. Drawing on the evidence, Waldfogel proposes a bold new plan to better meet the needs of children in working families, from birth through adolescence, while respecting the core values of choice, quality, and work: ,Allow parents more flexibility to take time off work for family responsibilities; ,Break the link between employment and essential family benefits; ,Give mothers and fathers more options to stay home in the first year of life; ,Improve quality of care from infancy through the preschool years; ,Increase access to high-quality out-of-school programs for school-aged children and teenagers.

What Counts in Teaching Mathematics

In this book, internationally recognised scholars and practitioners synthesise current practice and research developments in the area of mathematics teacher education and mathematics education. The book's two sections examine the role and significance of collaborations and critical friends in the self-study of mathematics teaching and teacher education; and the emerging conflicts, dilemmas and incongruities arising from the study of mathematics education practices. The book considers the insights gained from self-analysis regarding the practitioner themselves, as well as their pedagogical content, students and approaches. The contributions highlight the complexity, characteristics and features of mathematics education. The chapters reveal nuances in teaching and learning that are of particular relevance in mathematics education. In addition, the book contains ideas and suggestions on how to enhance the teaching of mathematical content to pre-service teachers. Accordingly, the book appeals to a wide audience of educators--including education academics, teachers, student teachers and researchers. As teacher educators involved in mathematics education, reflection on practice and engagement in practitioner research is becoming increasingly important in our efforts to enhance our teaching. Teachers and student teachers also gain from the insights arising from such reflection. The knowledge and experience encapsulated in this book provides much for the mathematics education community to build on.

What Do You Expect: Probability and Expected Value (Texas)

NIMAC-sourced textbook

What Do You Expect?: Probability and Expected Value

NIMAC-sourced textbook

What Do You Expect?, Probability and Expected Value

NIMAC-sourced textbook

What Do You Expect? Probability and Expected Value (Connected Mathematics)

The contents of the book include: A First Look at Chance, Experimental and Theoretical Probability, Making Decisions with Probability, Analyzing Compound Events Using an Area Model, Binomial Outcomes, Unit Project, English/Spanish Glossary, etc.

What Does Understanding Mathematics Mean for Teachers?: Relationship as a Metaphor for Knowing (Studies in Curriculum Theory Series)

This book opens up alternative ways of thinking and talking about ways in which a person can "know" a subject (in this case, mathematics), leading to a reconsideration of what it may mean to be a teacher of that subject. In a number of European languages, a distinction is made in ways of knowing that in the English language is collapsed into the singular word know. In French, for example, to know in the savoir sense is to know things, facts, names, how and why things work, and so on, whereas to know in the connaître sense is to know a person, a place, or even a thing—namely, an other— in such a way that one is familiar with, or in relationship with this other. Primarily through phenomenological reflection with a touch of empirical input, this book fleshes out an image for what a person’s connaître knowing of mathematics might mean, turning to mathematics teachers and teacher educators to help clarify this image.

What Every Engineer Should Know About Modeling and Simulation (What Every Engineer Should Know)

This practical book presents fundamental concepts and issues in computer modeling and simulation (M&S) in a simple and practical way for engineers, scientists, and managers who wish to apply simulation successfully to their real-world problems. It offers a concise approach to the coverage of generic (tool-independent) M&S concepts and enables engineering practitioners to easily learn, evaluate, and apply various available simulation concepts. Worked out examples are included to illustrate the concepts and an example modeling application is continued throughout the chapters to demonstrate the techniques. The book discusses modeling purposes, scoping a model, levels of modeling abstraction, the benefits and cost of including randomness, types of simulation, and statistical techniques. It also includes a chapter on modeling and simulation projects and how to conduct them for customer and engineer benefit and covers the stages of a modeling and simulation study, including process and system investigation, data collection, modeling scoping and production, model verification and validation, experimentation, and analysis of results.

What Every Engineer Should Know About Risk Engineering and Management (ISSN)

Completely updated, this new edition uniquely explains how to assess and handle technical risk, schedule risk, and cost risk efficiently and effectively for complex systems that include Artificial Intelligence, Machine Learning, and Deep Learning. It enables engineering professionals to anticipate failures and highlight opportunities to turn failure into success through the systematic application of Risk Engineering. What Every Engineer Should Know About Risk Engineering and Management, Second Edition discusses Risk Engineering and how to deal with System Complexity and Engineering Dynamics, as it highlights how AI can present new and unique ways that failures can take place. The new edition extends the term "Risk Engineering" introduced by the first edition, to Complex Systems in the new edition. The book also relates Decision Tree which was explored in the first edition to Fault Diagnosis in the new edition and introduces new chapters on System Complexity, AI, and Causal Risk Assessment along with other chapter updates to make the book current. Features Discusses Risk Engineering and how to deal with System Complexity and Engineering Dynamics Highlights how AI can present new and unique ways of failure that need to be addressed Extends the term "Risk Engineering" introduced by the first edition to Complex Systems in this new edition Relates Decision Tree which was explored in the first edition to Fault Diagnosis in the new edition Includes new chapters on System Complexity, AI, and Causal Risk Assessment along with other chapters being updated to make the book more current The audience is the beginner with no background in Risk Engineering and can be used by new practitioners, undergraduates, and first-year graduate students.

What If There Were No Significance Tests?: Classic Edition (Multivariate Applications Series)

The classic edition of What If There Were No Significance Tests? highlights current statistical inference practices. Four areas are featured as essential for making inferences: sound judgment, meaningful research questions, relevant design, and assessing fit in multiple ways. Other options (data visualization, replication or meta-analysis), other features (mediation, moderation, multiple levels or classes), and other approaches (Bayesian analysis, simulation, data mining, qualitative inquiry) are also suggested. The Classic Edition’s new Introduction demonstrates the ongoing relevance of the topic and the charge to move away from an exclusive focus on NHST, along with new methods to help make significance testing more accessible to a wider body of researchers to improve our ability to make more accurate statistical inferences. Part 1 presents an overview of significance testing issues. The next part discusses the debate in which significance testing should be rejected or retained. The third part outlines various methods that may supplement significance testing procedures. Part 4 discusses Bayesian approaches and methods and the use of confidence intervals versus significance tests. The book concludes with philosophy of science perspectives. Rather than providing definitive prescriptions, the chapters are largely suggestive of general issues, concerns, and application guidelines. The editors allow readers to choose the best way to conduct hypothesis testing in their respective fields. For anyone doing research in the social sciences, this book is bound to become "must" reading. Ideal for use as a supplement for graduate courses in statistics or quantitative analysis taught in psychology, education, business, nursing, medicine, and the social sciences, the book also benefits independent researchers in the behavioral and social sciences and those who teach statistics.

What Is a Complex System?

A clear, concise introduction to the quickly growing field of complexity science that explains its conceptual and mathematical foundations What is a complex system? Although &“complexity science&” is used to understand phenomena as diverse as the behavior of honeybees, the economic markets, the human brain, and the climate, there is no agreement about its foundations. In this introduction for students, academics, and general readers, philosopher of science James Ladyman and physicist Karoline Wiesner develop an account of complexity that brings the different concepts and mathematical measures applied to complex systems into a single framework. They introduce the different features of complex systems, discuss different conceptions of complexity, and develop their own account. They explain why complexity science is so important in today&’s world.

What Is a Mathematical Concept?

Responding to widespread interest within cultural studies and social inquiry, this book addresses the question 'what is a mathematical concept?' using a variety of vanguard theories in the humanities and posthumanities. Tapping historical, philosophical, sociological and psychological perspectives, each chapter explores the question of how mathematics comes to matter. Of interest to scholars across the usual disciplinary divides, this book tracks mathematics as a cultural activity, drawing connections with empirical practice. Unlike other books in this area, it is highly interdisciplinary, devoted to exploring the ontology of mathematics as it plays out in different contexts. This book will appeal to scholars who are interested in particular mathematical habits - creative diagramming, structural mappings, material agency, interdisciplinary coverings - that shed light on both mathematics and other disciplines. Chapters are also relevant to social sciences and humanities scholars, as each offers philosophical insight into mathematics and how we might live mathematically.

What Is Energy?: An Answer Based on the Evolution of a Concept (History of Physics)

This book provides a solution to the problem with the energy concept. This problem manifests itself in the fact that physicists clearly diverge regarding the question of what energy is. Some define it but others state that we do not know what it is. Although this is a problem for physicists who need to explain the concept, it is not a problem for physics that can be solved by laboratory means. Penetrating into the origin of the notion of energy, this book offers a clear idea of what was discovered and what was invented to interpret the findings.Following the development of the concept, it provides an explanation of the trends in contemporary textbooks. The author's repetition, in his "History and Philosophy of Physics Laboratory", of Joule’s famous experiment – the paddle wheel experiment – with a calorimeter as originally used by Joule and with a calorimeter as proposed in textbooks, is presented, yielding new insight into the phenomenon. Thus, science teachers and students will benefit from reading the book as well as historians, philosophers, students of the history and philosophy of science, and all who are interested in knowing about what it is that we call energy.

What Is Lean Six Sigma?

A quick introduction on how to use Lean Six Sigma to improve your workplace, meet your goals, and better serve your customers. Lean Six Sigma combines the two most important improvement trends of our time: making work better (using Six Sigma) and making work faster (using Lean principles). In this plain-English guide, you'll discover how this remarkable quality improvement method can give you the tools to identify and eliminate waste and quality problems in your own work area. Packed with diagrams, cartoons, and real-life examples, What is Lean Six Sigma? reveals the four keys of Lean Six Sigma and how they apply to your own job:Delight your customers with speed and quality Improve your processes Work together for maximum gain Base decisions on data and facts You'll see the big picture of what your company hopes to gain with Lean Six Sigma, how it may affect your work area, and what it can mean to you personally.

What Is Mathematical Logic? (Dover Books on Mathematics)

Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic.The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams began to converge in the seventeenth century with the invention of the calculus, which ultimately brought mathematics and logic together. The authors then briefly indicate how such relatively modern concepts as set theory, Gödel's incompleteness theorems, the continuum hypothesis, the Löwenheim-Skolem theorem, and other ideas influenced mathematical logic. The ideas are set forth simply and clearly in a pleasant style, and despite the book's relative brevity, there is much covered on these pages. Nonmathematicians can read the book as a general survey; students of the subject will find it a stimulating introduction. Readers will also find suggestions for further reading in this lively and exciting area of modern mathematics.

What Is Money?: Bartering, Cash, Cryptocurrency... And Much More! (A True Book (Relaunch))

A series to build strong financial habits early on in life!Understanding how society progressed from the barter system to currency-and how that money works in the global economy-are just two critical financial literacy skills that all kids should have. Did you know that the first paper currency appeared more than 1,200 years ago? Or that the currency of the future will likely be digital? Learn all this and more in What Is Money? - a book that starts kids on the road to financial literacy.ABOUT THE SERIES: How can I make money? What is inflation? What is the difference between a debit card and a credit card? Economics - and more specifically, money - play such a large role in our lives. Yet there are many mysteries and misconceptions surrounding the basic concepts of finance and smart money management. This set of True Books offers students the know-how they'll need to start on the road to financial literacy-a crucial skill for today's world. Interesting information is presented in a fun, friendly way-and in the simplest terms possible-which will enable students to build strong financial habits early on in life.

What Is Random?: Chance and Order in Mathematics and Life (Copernicus Ser.)

In this fascinating book, mathematician Ed Beltrami takes a close enough look at randomness to make it mysteriously disappear. The results of coin tosses, it turns out, are determined from the start, and only our incomplete knowledge makes them look random. "Random" sequences of numbers are more elusive, but Godels undecidability theorem informs us that we will never know. Those familiar with quantum indeterminacy assert that order is an illusion, and that the world is fundamentally random. Yet randomness is also an illusion. Perhaps order and randomness, like waves and particles, are only two sides of the same (tossed) coin.

What Is Square?

What is the Genus?

Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomena.

What Logics Mean

What do the rules of logic say about the meanings of the symbols they govern? In this book, James W. Garson examines the inferential behaviour of logical connectives (such as 'and', 'or', 'not' and 'if . . . then'), whose behaviour is defined by strict rules, and proves definitive results concerning exactly what those rules express about connective truth conditions. He explores the ways in which, depending on circumstances, a system of rules may provide no interpretation of a connective at all, or the interpretation we ordinarily expect for it, or an unfamiliar or novel interpretation. He also shows how the novel interpretations thus generated may be used to help analyse philosophical problems such as vagueness and the open future. His book will be valuable for graduates and specialists in logic, philosophy of logic, and philosophy of language.

What Makes Us Smart: The Computational Logic of Human Cognition

How a computational framework can account for the successes and failures of human cognitionAt the heart of human intelligence rests a fundamental puzzle: How are we incredibly smart and stupid at the same time? No existing machine can match the power and flexibility of human perception, language, and reasoning. Yet, we routinely commit errors that reveal the failures of our thought processes. What Makes Us Smart makes sense of this paradox by arguing that our cognitive errors are not haphazard. Rather, they are the inevitable consequences of a brain optimized for efficient inference and decision making within the constraints of time, energy, and memory—in other words, data and resource limitations. Framing human intelligence in terms of these constraints, Samuel Gershman shows how a deeper computational logic underpins the “stupid” errors of human cognition.Embarking on a journey across psychology, neuroscience, computer science, linguistics, and economics, Gershman presents unifying principles that govern human intelligence. First, inductive bias: any system that makes inferences based on limited data must constrain its hypotheses in some way before observing data. Second, approximation bias: any system that makes inferences and decisions with limited resources must make approximations. Applying these principles to a range of computational errors made by humans, Gershman demonstrates that intelligent systems designed to meet these constraints yield characteristically human errors.Examining how humans make intelligent and maladaptive decisions, What Makes Us Smart delves into the successes and failures of cognition.