{"product_id":"probability-isbn-9781118947081","title":"Probability","description":"\u003cp\u003e\u003cb\u003ePraise for the \u003ci\u003eFirst Edition\u003cbr\u003e\u003cbr\u003e\u003c\/i\u003e\u003c\/b\u003e\u003cb\u003e\"This is a well-written and impressively presented introduction to probability and statistics. The text throughout is highly readable, and the author makes liberal use of graphs and diagrams to clarify the theory.\" - \u003ci\u003eThe Statistician\u003cbr\u003e\u003cbr\u003e\u003c\/i\u003e\u003c\/b\u003eThoroughly updated, \u003ci\u003eProbability: An Introduction with Statistical Applications, Second Edition\u003c\/i\u003e features a comprehensive exploration of statistical data analysis as an application of probability. The new edition provides an introduction to statistics with accessible coverage of reliability, acceptance sampling, confidence intervals, hypothesis testing, and simple linear regression. Encouraging readers to develop a deeper intuitive understanding of probability, the author presents illustrative geometrical presentations and arguments without the need for rigorous mathematical proofs.\u003cbr\u003e\u003cbr\u003eThe \u003ci\u003eSecond Edition\u003c\/i\u003e features interesting and practical examples from a variety of engineering and scientific fields, as well as:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eOver 880 problems at varying degrees of difficulty allowing readers to take on more challenging problems as their skill levels increase\u003c\/li\u003e \u003cli\u003eChapter-by-chapter projects that aid in the visualization of probability distributions\u003c\/li\u003e \u003cli\u003eNew coverage of statistical quality control and quality production\u003c\/li\u003e \u003cli\u003eAn appendix dedicated to the use of Mathematica® and a companion website containing the referenced data sets\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eFeaturing a practical and real-world approach, this textbook is ideal for a first course in probability for students majoring in statistics, engineering, business, psychology, operations research, and mathematics. \u003ci\u003eProbability: An Introduction with Statistical Applications, Second Edition\u003c\/i\u003e is also an excellent reference for researchers and professionals in any discipline who need to make decisions based on data as well as readers interested in learning how to accomplish effective decision making from data.\u003c\/p\u003e \u003cp\u003ePreface for the First Edition xi\u003c\/p\u003e \u003cp\u003ePreface for the Second Edition xv\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Sample Spaces and Probability 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1. Discrete Sample Spaces 1\u003c\/p\u003e \u003cp\u003e1.2. Events; Axioms of Probability 7\u003c\/p\u003e \u003cp\u003eAxioms of Probability 8\u003c\/p\u003e \u003cp\u003e1.3. Probability Theorems 10\u003c\/p\u003e \u003cp\u003e1.4. Conditional Probability and Independence 14\u003c\/p\u003e \u003cp\u003eIndependence 23\u003c\/p\u003e \u003cp\u003e1.5. Some Examples 28\u003c\/p\u003e \u003cp\u003e1.6. Reliability of Systems 34\u003c\/p\u003e \u003cp\u003eSeries Systems 34\u003c\/p\u003e \u003cp\u003eParallel Systems 35\u003c\/p\u003e \u003cp\u003e1.7. Counting Techniques 39\u003c\/p\u003e \u003cp\u003eChapter Review 54\u003c\/p\u003e \u003cp\u003eProblems for Review 56\u003c\/p\u003e \u003cp\u003eSupplementary Exercises for Chapter 1 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Discrete Random Variables and Probability Distributions 61\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1. Random Variables 61\u003c\/p\u003e \u003cp\u003e2.2. Distribution Functions 68\u003c\/p\u003e \u003cp\u003e2.3. Expected Values of Discrete Random Variables 72\u003c\/p\u003e \u003cp\u003eExpected Value of a Discrete Random Variable 72\u003c\/p\u003e \u003cp\u003eVariance of a Random Variable 75\u003c\/p\u003e \u003cp\u003eTchebycheff’s Inequality 78\u003c\/p\u003e \u003cp\u003e2.4. Binomial Distribution 81\u003c\/p\u003e \u003cp\u003e2.5. A Recursion 82\u003c\/p\u003e \u003cp\u003eThe Mean and Variance of the Binomial 84\u003c\/p\u003e \u003cp\u003e2.6. Some Statistical Considerations 88\u003c\/p\u003e \u003cp\u003e2.7. Hypothesis Testing: Binomial Random Variables 92\u003c\/p\u003e \u003cp\u003e2.8. Distribution of A Sample Proportion 98\u003c\/p\u003e \u003cp\u003e2.9. Geometric and Negative Binomial Distributions 102\u003c\/p\u003e \u003cp\u003eA Recursion 108\u003c\/p\u003e \u003cp\u003e2.10. The Hypergeometric Random Variable: Acceptance Sampling 111\u003c\/p\u003e \u003cp\u003eAcceptance Sampling 111\u003c\/p\u003e \u003cp\u003eThe Hypergeometric Random Variable 114\u003c\/p\u003e \u003cp\u003eSome Specific Hypergeometric Distributions 116\u003c\/p\u003e \u003cp\u003e2.11. Acceptance Sampling (Continued) 119\u003c\/p\u003e \u003cp\u003eProducer’s and Consumer’s Risks 121\u003c\/p\u003e \u003cp\u003eAverage Outgoing Quality 122\u003c\/p\u003e \u003cp\u003eDouble Sampling 124\u003c\/p\u003e \u003cp\u003e2.12. The Hypergeometric Random Variable: Further Examples 128\u003c\/p\u003e \u003cp\u003e2.13. The Poisson Random Variable 130\u003c\/p\u003e \u003cp\u003eMean and Variance of the Poisson 131\u003c\/p\u003e \u003cp\u003eSome Comparisons 132\u003c\/p\u003e \u003cp\u003e2.14. The Poisson Process 134\u003c\/p\u003e \u003cp\u003eChapter Review 139\u003c\/p\u003e \u003cp\u003eProblems for Review 141\u003c\/p\u003e \u003cp\u003eSupplementary Exercises for Chapter 2 142\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Continuous Random Variables and Probability Distributions 146\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1. Introduction 146\u003c\/p\u003e \u003cp\u003eMean and Variance 150\u003c\/p\u003e \u003cp\u003eA Word on Words 153\u003c\/p\u003e \u003cp\u003e3.2. Uniform Distribution 157\u003c\/p\u003e \u003cp\u003e3.3. Exponential Distribution 159\u003c\/p\u003e \u003cp\u003eMean and Variance 160\u003c\/p\u003e \u003cp\u003eDistribution Function 161\u003c\/p\u003e \u003cp\u003e3.4. Reliability 162\u003c\/p\u003e \u003cp\u003eHazard Rate 163\u003c\/p\u003e \u003cp\u003e3.5. Normal Distribution 166\u003c\/p\u003e \u003cp\u003e3.6. Normal Approximation to the Binomial Distribution 175\u003c\/p\u003e \u003cp\u003e3.7. Gamma and Chi-Squared Distributions 178\u003c\/p\u003e \u003cp\u003e3.8. Weibull Distribution 184\u003c\/p\u003e \u003cp\u003eChapter Review 186\u003c\/p\u003e \u003cp\u003eProblems For Review 189\u003c\/p\u003e \u003cp\u003eSupplementary Exercises for Chapter 3 189\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Functions of Random Variables; Generating Functions; Statistical Applications 194\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1. Introduction 194\u003c\/p\u003e \u003cp\u003e4.2. Some Examples of Functions of Random Variables 195\u003c\/p\u003e \u003cp\u003e4.3. Probability Distributions of Functions of Random Variables 196\u003c\/p\u003e \u003cp\u003eExpectation of a Function of X 199\u003c\/p\u003e \u003cp\u003e4.4. Sums of Random Variables I 203\u003c\/p\u003e \u003cp\u003e4.5. Generating Functions 207\u003c\/p\u003e \u003cp\u003e4.6. Some Properties of Generating Functions 211\u003c\/p\u003e \u003cp\u003e4.7. Probability Generating Functions for Some Specific Probability Distributions 213\u003c\/p\u003e \u003cp\u003eBinomial Distribution 213\u003c\/p\u003e \u003cp\u003ePoisson’s Trials 214\u003c\/p\u003e \u003cp\u003eGeometric Distribution 215\u003c\/p\u003e \u003cp\u003eCollecting Premiums in Cereal Boxes 216\u003c\/p\u003e \u003cp\u003e4.8. Moment Generating Functions 218\u003c\/p\u003e \u003cp\u003e4.9. Properties of Moment Generating Functions 223\u003c\/p\u003e \u003cp\u003e4.10. Sums of Random Variables–II 224\u003c\/p\u003e \u003cp\u003e4.11. The Central Limit Theorem 229\u003c\/p\u003e \u003cp\u003e4.12. Weak Law of Large Numbers 233\u003c\/p\u003e \u003cp\u003e4.13. Sampling Distribution of the Sample Variance 234\u003c\/p\u003e \u003cp\u003e4.14. Hypothesis Tests and Confidence Intervals for a Single Mean 240\u003c\/p\u003e \u003cp\u003eConfidence Intervals, 𝜎 Known 241\u003c\/p\u003e \u003cp\u003eStudent’s t Distribution 242\u003c\/p\u003e \u003cp\u003ep Values 243\u003c\/p\u003e \u003cp\u003e4.15. Hypothesis Tests on Two Samples 248\u003c\/p\u003e \u003cp\u003eTests on Two Means 248\u003c\/p\u003e \u003cp\u003eTests on Two Variances 251\u003c\/p\u003e \u003cp\u003e4.16. Least Squares Linear Regression 258\u003c\/p\u003e \u003cp\u003e4.17. Quality Control Chart for X 266\u003c\/p\u003e \u003cp\u003eChapter Review 271\u003c\/p\u003e \u003cp\u003eProblems for Review 275\u003c\/p\u003e \u003cp\u003eSupplementary Exercises for Chapter 4 275\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Bivariate Probability Distributions 283\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1. Introduction 283\u003c\/p\u003e \u003cp\u003e5.2. Joint and Marginal Distributions 283\u003c\/p\u003e \u003cp\u003e5.3. Conditional Distributions and Densities 293\u003c\/p\u003e \u003cp\u003e5.4. Expected Values and the Correlation Coefficient 298\u003c\/p\u003e \u003cp\u003e5.5. Conditional Expectations 303\u003c\/p\u003e \u003cp\u003e5.6. Bivariate Normal Densities 308\u003c\/p\u003e \u003cp\u003eContour Plots 310\u003c\/p\u003e \u003cp\u003e5.7. Functions of Random Variables 312\u003c\/p\u003e \u003cp\u003eChapter Review 316\u003c\/p\u003e \u003cp\u003eProblems for Review 317\u003c\/p\u003e \u003cp\u003eSupplementary Exercises for Chapter 5 317\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Recursions and Markov Chains 322\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1. Introduction 322\u003c\/p\u003e \u003cp\u003e6.2. Some Recursions and their Solutions 322\u003c\/p\u003e \u003cp\u003eSolution of the Recursion (6.3) 326\u003c\/p\u003e \u003cp\u003eMean and Variance 329\u003c\/p\u003e \u003cp\u003e6.3. Random Walk and Ruin 334\u003c\/p\u003e \u003cp\u003eExpected Duration of the Game 337\u003c\/p\u003e \u003cp\u003e6.4. Waiting Times for Patterns in Bernoulli Trials 339\u003c\/p\u003e \u003cp\u003eGenerating Functions 341\u003c\/p\u003e \u003cp\u003eAverage Waiting Times 342\u003c\/p\u003e \u003cp\u003eMeans and Variances by Generating Functions 343\u003c\/p\u003e \u003cp\u003e6.5. Markov Chains 344\u003c\/p\u003e \u003cp\u003eChapter Review 354\u003c\/p\u003e \u003cp\u003eProblems for Review 355\u003c\/p\u003e \u003cp\u003eSupplementary Exercises for Chapter 6 355\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Some Challenging Problems 357\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1. My Socks and √𝜋 357\u003c\/p\u003e \u003cp\u003e7.2. Expected Value 359\u003c\/p\u003e \u003cp\u003e7.3. Variance 361\u003c\/p\u003e \u003cp\u003e7.4. Other “Socks” Problems 362\u003c\/p\u003e \u003cp\u003e7.5. Coupon Collection and Related Problems 362\u003c\/p\u003e \u003cp\u003eThree Prizes 363\u003c\/p\u003e \u003cp\u003ePermutations 363\u003c\/p\u003e \u003cp\u003eAn Alternative Approach 363\u003c\/p\u003e \u003cp\u003eAltering the Probabilities 364\u003c\/p\u003e \u003cp\u003eA General Result 364\u003c\/p\u003e \u003cp\u003eExpectations and Variances 366\u003c\/p\u003e \u003cp\u003eGeometric Distribution 366\u003c\/p\u003e \u003cp\u003eVariances 367\u003c\/p\u003e \u003cp\u003eWaiting for Each of the Integers 367\u003c\/p\u003e \u003cp\u003eConditional Expectations 368\u003c\/p\u003e \u003cp\u003eOther Expected Values 369\u003c\/p\u003e \u003cp\u003eWaiting for All the Sums on Two Dice 370\u003c\/p\u003e \u003cp\u003e7.6. Conclusion 372\u003c\/p\u003e \u003cp\u003e7.7. Jackknifed Regression and the Bootstrap 372\u003c\/p\u003e \u003cp\u003eJackknifed Regression 372\u003c\/p\u003e \u003cp\u003e7.8. Cook’s Distance 374\u003c\/p\u003e \u003cp\u003e7.9. The Bootstrap 375\u003c\/p\u003e \u003cp\u003e7.10. On Waldegrave’s Problem 378\u003c\/p\u003e \u003cp\u003eThree Players 378\u003c\/p\u003e \u003cp\u003e7.11. Probabilities of Winning 378\u003c\/p\u003e \u003cp\u003e7.12. More than Three Players 379\u003c\/p\u003e \u003cp\u003er + 1 Players 381\u003c\/p\u003e \u003cp\u003eProbabilities of Each Player 382\u003c\/p\u003e \u003cp\u003eExpected Length of the Series 383\u003c\/p\u003e \u003cp\u003eFibonacci Series 383\u003c\/p\u003e \u003cp\u003e7.13. Conclusion 384\u003c\/p\u003e \u003cp\u003e7.14. On Huygen’s First Problem 384\u003c\/p\u003e \u003cp\u003e7.15. Changing the Sums for the Players 384\u003c\/p\u003e \u003cp\u003eDecimal Equivalents 386\u003c\/p\u003e \u003cp\u003eAnother Order 387\u003c\/p\u003e \u003cp\u003eBernoulli’s Sequence 387\u003c\/p\u003e \u003cp\u003eBibliography 388\u003c\/p\u003e \u003cp\u003eAppendix A. Use of Mathematica in Probability and Statistics 390\u003c\/p\u003e \u003cp\u003eAppendix B. Answers for Odd-Numbered Exercises 429\u003c\/p\u003e \u003cp\u003eAppendix C. Standard Normal Distribution 453\u003c\/p\u003e \u003cp\u003eIndex 461\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eJohn J. Kinney, PhD,\u003c\/b\u003e is Professor Emeritus of Mathematics at Rose-Hulman Institute of Technology in Terre Haute, Indiana. A Member of the American Statistical Association and the Colorado Council of Teachers of Mathematics, Dr. Kinney is the author of numerous journal articles and three books, including \u003ci\u003eA Probability and Statistics Companion\u003c\/i\u003e, also published by Wiley.\u003c\/p\u003e \u003cp\u003ePraise for the \u003ci\u003eFirst Edition\u003cbr\u003e\u003cbr\u003e\u003c\/i\u003e\"This is a well-written and impressively presented introduction to probability and statistics. The text throughout is highly readable, and the author makes liberal use of graphs and diagrams to clarify the theory.\" - \u003ci\u003eThe Statistician\u003cbr\u003e\u003cbr\u003e\u003c\/i\u003eThoroughly updated, \u003ci\u003eProbability: An Introduction with Statistical Applications, Second Edition\u003c\/i\u003e features a comprehensive exploration of statistical data analysis as an application of probability. The new edition provides an introduction to statistics with accessible coverage of reliability, acceptance sampling, confidence intervals, hypothesis testing, and simple linear regression. Encouraging readers to develop a deeper intuitive understanding of probability, the author presents illustrative geometrical presentations and arguments without the need for rigorous mathematical proofs.\u003cbr\u003e\u003cbr\u003eThe \u003ci\u003eSecond Edition\u003c\/i\u003e features interesting and practical examples from a variety of engineering and scientific fields, as well as:\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eOver 880 problems at varying degrees of difficulty allowing readers to take on more challenging problems as their skill levels increase\u003c\/li\u003e \u003c\/ul\u003e \u003cul\u003e \u003cli\u003eChapter-by-chapter projects that aid in the visualization of probability distributions\u003c\/li\u003e \u003c\/ul\u003e \u003cul\u003e \u003cli\u003eNew coverage of statistical quality control and quality production\u003c\/li\u003e \u003c\/ul\u003e \u003cul\u003e \u003cli\u003eAn appendix dedicated to the use of Mathematica® and a companion website containing the referenced data sets\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eFeaturing a practical and real-world approach, this textbook is ideal for a first course in probability for students majoring in statistics, engineering, business, psychology, operations research, and mathematics. \u003ci\u003eProbability: An Introduction with Statistical Applications, Second Edition\u003c\/i\u003e is also an excellent reference for researchers and professionals in any discipline who need to make decisions based on data as well as readers interested in learning how to accomplish effective decision making from data.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eJohn J. Kinney, PhD,\u003c\/b\u003e is Professor Emeritus of Mathematics at Rose-Hulman Institute of Technology in Terre Haute, Indiana. A Member of the American Statistical Association, Dr. Kinney is the author of numerous journal articles and three books, including \u003ci\u003eA Probability and Statistics Companion\u003c\/i\u003e, also published by Wiley.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989858107621,"sku":"NP9781118947081","price":120.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118947081.jpg?v=1761785698","url":"https:\/\/k12savings.com\/es\/products\/probability-isbn-9781118947081","provider":"K12savings","version":"1.0","type":"link"}