Probability, Statistics, and Reliability for Engineers and Scientists, Third Edition

Front Cover; Contents; Preface; Acknowledgments; Authors; Chapter 1 -- Introduction; Chapter 2 -- Data Description and Treatment; Chapter 3 -- Fundamentals of Probability; Chapter 4 -- Probability Distributions for Discrete Random Variables; Chapter 5 -- Probability Distributions for Continuous Random Variables; Chapter 6 -- Multiple Random Variables; Chapter 7 -- Simulation; Chapter 8 -- Fundamentals of Statistical Analysis; Chapter 9 -- Hypothesis Testing; Chapter 10 -- Analysis of Variance; Chapter 11 -- Confidence Intervals and Sample Size Determination; Chapter 12 -- Regression Analysis.;IntroductionIntroduction Knowledge, Information, and Opinions Ignorance and Uncertainty Aleatory and Epistemic Uncertainties in System Abstraction Characterizing and Modeling Uncertainty Simulation for Uncertainty Analysis and Propagation Simulation Projects Data Description and TreatmentIntroduction Classification of Data Graphical Description of Data Histograms and Frequency Diagrams Descriptive Measures Applications Analysis of Simulated Data Simulation Projects Fundamentals of ProbabilityIntroduction Sets, Sample Spaces, and EventsMathematics of Probability Random Variables and Their Proba. IntroductionIntroduction Knowledge, Information, and Opinions Ignorance and Uncertainty Aleatory and Epistemic Uncertainties in System Abstraction Characterizing and Modeling Uncertainty Simulation for Uncertainty Analysis and Propagation Simulation Projects Data Description and TreatmentIntroduction Classification of Data Graphical Description of Data Histograms and Frequency Diagrams Descriptive Measures Applications Analysis of Simulated Data Simulation Projects Fundamentals of ProbabilityIntroduction Sets, Sample Spaces, and EventsMathematics of Probability Random Variables and Their Probability Distributions Moments Application: Water Supply and Quality Simulation and Probability DistributionsSimulation Projects Probability Distributions for Discrete Random VariablesIntroduction Bernoulli Distribution Binomial Distribution Geometric Distribution Poisson Distribution Negative Binomial and Pascal Probability Distributions Hypergeometric Probability Distribution Applications Simulation of Discrete Random Variables A Summary of Distributions Simulation Projects Probability Distributions for Continuous Random VariablesIntroduction Uniform DistributionNormal Distribution Lognormal Distribution Exponential Distribution Triangular Distribution Gamma Distribution Rayleigh Distribution Beta Distribution Statistical Probability Distributions Extreme Value Distributions Applications Simulation and Probability DistributionsA Summary of Distributions Simulation Projects Multiple Random VariablesIntroduction Joint Random Variables and Their Probability DistributionsFunctions of Random Variables Modeling Aleatory and Epistemic UncertaintyApplications Multivariable Simulation Simulation Projects SimulationIntroduction Monte Carlo Simulation Random Numbers Generation of Random Variables Generation of Selected Discrete Random Variables Generation of Selected Front Cover 1 Contents 7 Preface 19 Acknowledgments 23 Authors 25 Chapter 1 - Introduction 27 Chapter 2 - Data Description and Treatment 53 Chapter 3 - Fundamentals of Probability 87 Chapter 4 - Probability Distributions for Discrete Random Variables 143 Chapter 5 - Probability Distributions for Continuous Random Variables 169 Chapter 6 - Multiple Random Variables 205 Chapter 7 - Simulation 253 Chapter 8 - Fundamentals of Statistical Analysis 291 Chapter 9 - Hypothesis Testing 317 Chapter 10 - Analysis of Variance 357 Chapter 11 - Confidence Intervals and Sample Size Determination 399 Chapter 12 - Regression Analysis 419 Chapter 13 - Multiple and Nonlinear Regression Analysis 465 Chapter 14 - Reliability Analysis of Components 503 Chapter 15 - Reliability and Risk Analysis of Systems 545 Chapter 16 - Bayesian Methods 577 appendix A: Probability and Statistics Tables 599 appendix B: Taylor Series Expansion 619 appendix C : Data for Simulation Projects 625 appendix D: Semester Simulation Project 629 Back Cover 657 Introduction Knowledge, Information, and Opinions Ignorance and Uncertainty Aleatory and Epistemic Uncertainties in System Abstraction Characterizing and Modeling Uncertainty Simulation for Uncertainty Analysis and Propagation Simulation Projects Data Description and Treatment Introduction Classification of Data Graphical Description of Data Histograms and Frequency Diagrams Descriptive Measures Applications Analysis of Simulated Data Simulation Projects Fundamentals of Probability Introduction Sets, Sample Spaces, and Events Mathematics of Probability Random Variables and Their Proba. In a technological society, virtually every engineer and scientist needs to be able to collect, analyze, interpret, and properly use vast arrays of data. This means acquiring a solid foundation in the methods of data analysis and synthesis. Understanding the theoretical aspects is important, but learning to properly apply the theory to real-world p