{"product_id":"a-probability-and-statistics-companion-9780470471951","title":"A Probability and Statistics Companion","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe study of probability and statistics is crucial in manufacturing as well as in the analysis of sample surveys and in experimentation. Utilizing unique real-world examples and numerous graphics,  A Probability and Statistics Companion  provides a solid foundation to the field by delving into practical and relevant topics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"Each chapter includes exercises and explorations for interested readers. This book provides teachers and instructors with interesting real-world examples that can be used as supporting material for introductory courses on probability and statistics. Including chapters on more advanced and practical topics, like stratified sampling, analysis of experimental data and statistical process control, it may also be of interest to professionals and engineers who use statistical concepts in their work. Undergraduate students, who want to delve into practical applications, can use this book supplementary to a theoretical introduction.\" \u003ci\u003e(\u003c\/i\u003e\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 2010)\u003cbr\u003e \u003cbr\u003e  \"Topics include sampling and sample spaces, basic probability, discrete and continuous data, statistical inferences, regression analysis, and experimental design--thus providing broad-based considerations for introductory course instructors to draw from.\" (\u003ci\u003eCHOICE\u003c\/i\u003e, 2009)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Probability and Sample Spaces 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eWhy Study Probability? 1\u003c\/p\u003e \u003cp\u003eProbability 2\u003c\/p\u003e \u003cp\u003eSample Spaces 2\u003c\/p\u003e \u003cp\u003eSome Properties of Probabilities 8\u003c\/p\u003e \u003cp\u003eFinding Probabilities of Events 11\u003c\/p\u003e \u003cp\u003eConclusions 16\u003c\/p\u003e \u003cp\u003eExplorations 16\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Permutations and Combinations: Choosing the Best Candidate; Acceptance Sampling 18\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePermutations 19\u003c\/p\u003e \u003cp\u003eCounting Principle 19\u003c\/p\u003e \u003cp\u003ePermutations with Some Objects Alike 20\u003c\/p\u003e \u003cp\u003ePermuting Only Some of the Objects 21\u003c\/p\u003e \u003cp\u003eCombinations 22\u003c\/p\u003e \u003cp\u003eGeneral Addition Theorem and Applications 25\u003c\/p\u003e \u003cp\u003eConclusions 35\u003c\/p\u003e \u003cp\u003eExplorations 35\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Conditional Probability 37\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 37\u003c\/p\u003e \u003cp\u003eSome Notation 40\u003c\/p\u003e \u003cp\u003eBayes’ Theorem 45\u003c\/p\u003e \u003cp\u003eConclusions 46\u003c\/p\u003e \u003cp\u003eExplorations 46\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Geometric Probability 48\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eConclusion 56\u003c\/p\u003e \u003cp\u003eExplorations 57\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Random Variables and Discrete Probability Distributions—Uniform, Binomial, Hypergeometric, and Geometric Distributions 58\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 58\u003c\/p\u003e \u003cp\u003eDiscrete Uniform Distribution 59\u003c\/p\u003e \u003cp\u003eMean and Variance of a Discrete Random Variable 60\u003c\/p\u003e \u003cp\u003eIntervals, σ, and German Tanks 61\u003c\/p\u003e \u003cp\u003eSums 62\u003c\/p\u003e \u003cp\u003eBinomial Probability Distribution 64\u003c\/p\u003e \u003cp\u003eMean and Variance of the Binomial Distribution 68\u003c\/p\u003e \u003cp\u003eSums 69\u003c\/p\u003e \u003cp\u003eHypergeometric Distribution 70\u003c\/p\u003e \u003cp\u003eOther Properties of the Hypergeometric Distribution 72\u003c\/p\u003e \u003cp\u003eGeometric Probability Distribution 72\u003c\/p\u003e \u003cp\u003eConclusions 73\u003c\/p\u003e \u003cp\u003eExplorations 74\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Seven-Game Series in Sports 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 75\u003c\/p\u003e \u003cp\u003eSeven-Game Series 75\u003c\/p\u003e \u003cp\u003eWinning the First Game 78\u003c\/p\u003e \u003cp\u003eHow Long Should the Series Last? 79\u003c\/p\u003e \u003cp\u003eConclusions 81\u003c\/p\u003e \u003cp\u003eExplorations 81\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Waiting Time Problems 83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eWaiting for the First Success 83\u003c\/p\u003e \u003cp\u003eThe Mythical Island 84\u003c\/p\u003e \u003cp\u003eWaiting for the Second Success 85\u003c\/p\u003e \u003cp\u003eWaiting for the rth Success 87\u003c\/p\u003e \u003cp\u003eMean of the Negative Binomial 87\u003c\/p\u003e \u003cp\u003eCollecting Cereal Box Prizes 88\u003c\/p\u003e \u003cp\u003eHeads Before Tails 88\u003c\/p\u003e \u003cp\u003eWaiting for Patterns 90\u003c\/p\u003e \u003cp\u003eExpected Waiting Time for HH 91\u003c\/p\u003e \u003cp\u003eExpected Waiting Time for TH 93\u003c\/p\u003e \u003cp\u003eAn Unfair Game with a Fair Coin 94\u003c\/p\u003e \u003cp\u003eThree Tosses 95\u003c\/p\u003e \u003cp\u003eWho Pays for Lunch? 96\u003c\/p\u003e \u003cp\u003eExpected Number of Lunches 98\u003c\/p\u003e \u003cp\u003eNegative Hypergeometric Distribution 99\u003c\/p\u003e \u003cp\u003eMean and Variance of the Negative Hypergeometric 101\u003c\/p\u003e \u003cp\u003eNegative Binomial Approximation 103\u003c\/p\u003e \u003cp\u003eThe Meaning of the Mean 104\u003c\/p\u003e \u003cp\u003eFirst Occurrences 104\u003c\/p\u003e \u003cp\u003eWaiting Time for c Special Items to Occur 104\u003c\/p\u003e \u003cp\u003eEstimating k 105\u003c\/p\u003e \u003cp\u003eConclusions 106\u003c\/p\u003e \u003cp\u003eExplorations 106\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Continuous Probability Distributions: Sums, the Normal Distribution, and the Central Limit Theorem; Bivariate Random Variables 108\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUniform Random Variable 109\u003c\/p\u003e \u003cp\u003eSums 111\u003c\/p\u003e \u003cp\u003eA Fact About Means 111\u003c\/p\u003e \u003cp\u003eNormal Probability Distribution 113\u003c\/p\u003e \u003cp\u003eFacts About Normal Curves 114\u003c\/p\u003e \u003cp\u003eBivariate Random Variables 115\u003c\/p\u003e \u003cp\u003eVariance 119\u003c\/p\u003e \u003cp\u003eCentral Limit Theorem: Sums 121\u003c\/p\u003e \u003cp\u003eCentral Limit Theorem: Means 123\u003c\/p\u003e \u003cp\u003eCentral Limit Theorem 124\u003c\/p\u003e \u003cp\u003eExpected Values and Bivariate Random Variables 124\u003c\/p\u003e \u003cp\u003eMeans and Variances of Means 124\u003c\/p\u003e \u003cp\u003eA Note on the Uniform Distribution 126\u003c\/p\u003e \u003cp\u003eConclusions 128\u003c\/p\u003e \u003cp\u003eExplorations 129\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. Statistical Inference I 130\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eEstimation 131\u003c\/p\u003e \u003cp\u003eConfidence Intervals 131\u003c\/p\u003e \u003cp\u003eHypothesis Testing 133\u003c\/p\u003e \u003cp\u003eβ and the Power of a Test 137\u003c\/p\u003e \u003cp\u003ep-Value for a Test 139\u003c\/p\u003e \u003cp\u003eConclusions 140\u003c\/p\u003e \u003cp\u003eExplorations 140\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10. Statistical Inference II: Continuous Probability Distributions II—Comparing Two Samples 141\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThe Chi-Squared Distribution 141\u003c\/p\u003e \u003cp\u003eStatistical Inference on the Variance 144\u003c\/p\u003e \u003cp\u003eStudent \u003ci\u003et\u003c\/i\u003e Distribution 146\u003c\/p\u003e \u003cp\u003eTesting the Ratio of Variances: The F Distribution 148\u003c\/p\u003e \u003cp\u003eTests on Means from Two Samples 150\u003c\/p\u003e \u003cp\u003eConclusions 154\u003c\/p\u003e \u003cp\u003eExplorations 154\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11. Statistical Process Control 155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eControl Charts 155\u003c\/p\u003e \u003cp\u003eEstimating σ Using the Sample Standard Deviations 157\u003c\/p\u003e \u003cp\u003eEstimating σ Using the Sample Ranges 159\u003c\/p\u003e \u003cp\u003eControl Charts for Attributes 161\u003c\/p\u003e \u003cp\u003enp Control Chart 161\u003c\/p\u003e \u003cp\u003ep Chart 163\u003c\/p\u003e \u003cp\u003eSome Characteristics of Control Charts 164\u003c\/p\u003e \u003cp\u003eSome Additional Tests for Control Charts 165\u003c\/p\u003e \u003cp\u003eConclusions 168\u003c\/p\u003e \u003cp\u003eExplorations 168\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12. Nonparametric Methods 170\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 170\u003c\/p\u003e \u003cp\u003eThe Rank Sum Test 170\u003c\/p\u003e \u003cp\u003eOrder Statistics 173\u003c\/p\u003e \u003cp\u003eMedian 174\u003c\/p\u003e \u003cp\u003eMaximum 176\u003c\/p\u003e \u003cp\u003eRuns 180\u003c\/p\u003e \u003cp\u003eSome Theory of Runs 182\u003c\/p\u003e \u003cp\u003eConclusions 186\u003c\/p\u003e \u003cp\u003eExplorations 187\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13. Least Squares, Medians, and the Indy 500 188\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 188\u003c\/p\u003e \u003cp\u003eLeast Squares 191\u003c\/p\u003e \u003cp\u003ePrinciple of Least Squares 191\u003c\/p\u003e \u003cp\u003eInfluential Observations 193\u003c\/p\u003e \u003cp\u003eThe Indy 500 195\u003c\/p\u003e \u003cp\u003eA Test for Linearity: The Analysis of Variance 197\u003c\/p\u003e \u003cp\u003eA Caution 201\u003c\/p\u003e \u003cp\u003eNonlinear Models 201\u003c\/p\u003e \u003cp\u003eThe Median–Median Line 202\u003c\/p\u003e \u003cp\u003eWhen Are the Lines Identical? 205\u003c\/p\u003e \u003cp\u003eDetermining the Median–Median Line 207\u003c\/p\u003e \u003cp\u003eAnalysis for Years 1911–1969 209\u003c\/p\u003e \u003cp\u003eConclusions 210\u003c\/p\u003e \u003cp\u003eExplorations 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14. Sampling 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSimple Random Sampling 212\u003c\/p\u003e \u003cp\u003eStratification 214\u003c\/p\u003e \u003cp\u003eProportional Allocation 215\u003c\/p\u003e \u003cp\u003eOptimal Allocation 217\u003c\/p\u003e \u003cp\u003eSome Practical Considerations 219\u003c\/p\u003e \u003cp\u003eStrata 221\u003c\/p\u003e \u003cp\u003eConclusions 221\u003c\/p\u003e \u003cp\u003eExplorations 221\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15. Design of Experiments 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eYates Algorithm 230\u003c\/p\u003e \u003cp\u003eRandomization and Some Notation 231\u003c\/p\u003e \u003cp\u003eConfounding 233\u003c\/p\u003e \u003cp\u003eMultiple Observations 234\u003c\/p\u003e \u003cp\u003eDesign Models and Multiple Regression Models 235\u003c\/p\u003e \u003cp\u003eTesting the Effects for Significance 235\u003c\/p\u003e \u003cp\u003eConclusions 238\u003c\/p\u003e \u003cp\u003eExplorations 238\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16. Recursions and Probability 240\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 240\u003c\/p\u003e \u003cp\u003eConclusions 250\u003c\/p\u003e \u003cp\u003eExplorations 250\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17. Generating Functions and the Central Limit Theorem 251\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eMeans and Variances 253\u003c\/p\u003e \u003cp\u003eA Normal Approximation 254\u003c\/p\u003e \u003cp\u003eConclusions 255\u003c\/p\u003e \u003cp\u003eExplorations 255\u003c\/p\u003e \u003cp\u003eBibliography 257\u003c\/p\u003e \u003cp\u003eWhere to Learn More 257\u003c\/p\u003e \u003cp\u003eIndex 259\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49525375500631,"sku":"9780470471951","price":75.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470471951.jpg?v=1731860279","url":"https:\/\/bookcurl.com\/products\/a-probability-and-statistics-companion-9780470471951","provider":"Book Curl","version":"1.0","type":"link"}