{"product_id":"introduction-to-probability-9781118123348","title":"Introduction to Probability","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eAn essential guide to the concepts of probability theory that puts the focus on models and applications\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eIntroduction to Probability\u003c\/i\u003e offers an authoritative text that presents the main ideas and concepts, as well as the theoretical background, models, and applications of probability. The authorsnoted experts in the fieldinclude a review of problems where probabilistic models naturally arise, and discuss the methodology to tackle these problems.\u003cbr\u003e\u003cbr\u003eA wide-range of topics are covered that include the concepts of probability and conditional probability, univariate discrete distributions, univariate continuous distributions, along with a detailed presentation of the most important probability distributions used in practice, with their main properties and applications. \u003cbr\u003e\u003cbr\u003eDesigned as a useful guide, the text contains theory of probability, de finitions, charts, examples with solutions, illustrations, self-assessment exercises, computational exercises,\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 The Concept of Probability 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Chance Experiments – Sample Spaces 2\u003c\/p\u003e \u003cp\u003e1.2 Operations Between Events 11\u003c\/p\u003e \u003cp\u003e1.3 Probability as Relative Frequency 27\u003c\/p\u003e \u003cp\u003e1.4 Axiomatic Definition of Probability 38\u003c\/p\u003e \u003cp\u003e1.5 Properties of Probability 45\u003c\/p\u003e \u003cp\u003e1.6 The Continuity Property of Probability 54\u003c\/p\u003e \u003cp\u003e1.7 Basic Concepts and Formulas 60\u003c\/p\u003e \u003cp\u003e1.8 Computational Exercises 61\u003c\/p\u003e \u003cp\u003e1.9 Self-assessment Exercises 63\u003c\/p\u003e \u003cp\u003e1.9.1 True–False Questions 63\u003c\/p\u003e \u003cp\u003e1.9.2 Multiple Choice Questions 64\u003c\/p\u003e \u003cp\u003e1.10 Review Problems 67\u003c\/p\u003e \u003cp\u003e1.11 Applications 71\u003c\/p\u003e \u003cp\u003e1.11.1 System Reliability 71\u003c\/p\u003e \u003cp\u003eKey Terms 77\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Finite Sample Spaces – Combinatorial Methods 79\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Finite Sample Spaces with Events of Equal Probability 80\u003c\/p\u003e \u003cp\u003e2.2 Main Principles of Counting 89\u003c\/p\u003e \u003cp\u003e2.3 Permutations 96\u003c\/p\u003e \u003cp\u003e2.4 Combinations 105\u003c\/p\u003e \u003cp\u003e2.5 The Binomial Theorem 123\u003c\/p\u003e \u003cp\u003e2.6 Basic Concepts and Formulas 132\u003c\/p\u003e \u003cp\u003e2.7 Computational Exercises 133\u003c\/p\u003e \u003cp\u003e2.8 Self-Assessment Exercises 139\u003c\/p\u003e \u003cp\u003e2.8.1 True–False Questions 139\u003c\/p\u003e \u003cp\u003e2.8.2 Multiple Choice Questions 140\u003c\/p\u003e \u003cp\u003e2.9 Review Problems 143\u003c\/p\u003e \u003cp\u003e2.10 Applications 150\u003c\/p\u003e \u003cp\u003e2.10.1 Estimation of Population Size: Capture–Recapture Method 150\u003c\/p\u003e \u003cp\u003eKey Terms 152\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Conditional Probability – Independent Events 153\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Conditional Probability 154\u003c\/p\u003e \u003cp\u003e3.2 The Multiplicative Law of Probability 166\u003c\/p\u003e \u003cp\u003e3.3 The Law of Total Probability 174\u003c\/p\u003e \u003cp\u003e3.4 Bayes’ Formula 183\u003c\/p\u003e \u003cp\u003e3.5 Independent Events 189\u003c\/p\u003e \u003cp\u003e3.6 Basic Concepts and Formulas 206\u003c\/p\u003e \u003cp\u003e3.7 Computational Exercises 207\u003c\/p\u003e \u003cp\u003e3.8 Self-assessment Exercises 210\u003c\/p\u003e \u003cp\u003e3.8.1 True–False Questions 210\u003c\/p\u003e \u003cp\u003e3.8.2 Multiple Choice Questions 211\u003c\/p\u003e \u003cp\u003e3.9 Review Problems 214\u003c\/p\u003e \u003cp\u003e3.10 Applications 220\u003c\/p\u003e \u003cp\u003e3.10.1 Diagnostic and Screening Tests 220\u003c\/p\u003e \u003cp\u003eKey Terms 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Discrete Random Variables and Distributions 225\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Random Variables 226\u003c\/p\u003e \u003cp\u003e4.2 Distribution Functions 232\u003c\/p\u003e \u003cp\u003e4.3 Discrete Random Variables 247\u003c\/p\u003e \u003cp\u003e4.4 Expectation of a Discrete Random Variable 261\u003c\/p\u003e \u003cp\u003e4.5 Variance of a Discrete Random Variable 281\u003c\/p\u003e \u003cp\u003e4.6 Some Results for Expectation and Variance 293\u003c\/p\u003e \u003cp\u003e4.7 Basic Concepts and Formulas 302\u003c\/p\u003e \u003cp\u003e4.8 Computational Exercises 303\u003c\/p\u003e \u003cp\u003e4.9 Self-Assessment Exercises 309\u003c\/p\u003e \u003cp\u003e4.9.1 True–False Questions 309\u003c\/p\u003e \u003cp\u003e4.9.2 Multiple Choice Questions 310\u003c\/p\u003e \u003cp\u003e4.10 Review Problems 313\u003c\/p\u003e \u003cp\u003e4.11 Applications 317\u003c\/p\u003e \u003cp\u003e4.11.1 Decision Making Under Uncertainty 317\u003c\/p\u003e \u003cp\u003eKey Terms 320\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Some Important Discrete Distributions 321\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Bernoulli Trials and Binomial Distribution 322\u003c\/p\u003e \u003cp\u003e5.2 Geometric and Negative Binomial Distributions 337\u003c\/p\u003e \u003cp\u003e5.3 The Hypergeometric Distribution 358\u003c\/p\u003e \u003cp\u003e5.4 The Poisson Distribution 371\u003c\/p\u003e \u003cp\u003e5.5 The Poisson Process 385\u003c\/p\u003e \u003cp\u003e5.6 Basic Concepts and Formulas 394\u003c\/p\u003e \u003cp\u003e5.7 Computational Exercises 395\u003c\/p\u003e \u003cp\u003e5.8 Self-Assessment Exercises 399\u003c\/p\u003e \u003cp\u003e5.8.1 True–False Questions 399\u003c\/p\u003e \u003cp\u003e5.8.2 Multiple Choice Questions 401\u003c\/p\u003e \u003cp\u003e5.9 Review Problems 403\u003c\/p\u003e \u003cp\u003e5.10 Applications 411\u003c\/p\u003e \u003cp\u003e5.10.1 Overbooking 411\u003c\/p\u003e \u003cp\u003eKey Terms 414\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Continuous Random Variables 415\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Density Functions 416\u003c\/p\u003e \u003cp\u003e6.2 Distribution for a Function of a Random Variable 431\u003c\/p\u003e \u003cp\u003e6.3 Expectation and Variance 442\u003c\/p\u003e \u003cp\u003e6.4 Additional Useful Results for the Expectation 451\u003c\/p\u003e \u003cp\u003e6.5 Mixed Distributions 459\u003c\/p\u003e \u003cp\u003e6.6 Basic Concepts and Formulas 468\u003c\/p\u003e \u003cp\u003e6.7 Computational Exercises 469\u003c\/p\u003e \u003cp\u003e6.8 Self-Assessment Exercises 474\u003c\/p\u003e \u003cp\u003e6.8.1 True–False Questions 474\u003c\/p\u003e \u003cp\u003e6.8.2 Multiple Choice Questions 476\u003c\/p\u003e \u003cp\u003e6.9 Review Problems 479\u003c\/p\u003e \u003cp\u003e6.10 Applications 486\u003c\/p\u003e \u003cp\u003e6.10.1 Profit Maximization 486\u003c\/p\u003e \u003cp\u003eKey Terms 490\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Some Important Continuous Distributions 491\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The Uniform Distribution 492\u003c\/p\u003e \u003cp\u003e7.2 The Normal Distribution 501\u003c\/p\u003e \u003cp\u003e7.3 The Exponential Distribution 531\u003c\/p\u003e \u003cp\u003e7.4 Other Continuous Distributions 542\u003c\/p\u003e \u003cp\u003e7.4.1 The Gamma Distribution 543\u003c\/p\u003e \u003cp\u003e7.4.2 The Beta Distribution 548\u003c\/p\u003e \u003cp\u003e7.5 Basic Concepts and Formulas 555\u003c\/p\u003e \u003cp\u003e7.6 Computational Exercises 557\u003c\/p\u003e \u003cp\u003e7.7 Self-Assessment Exercises 561\u003c\/p\u003e \u003cp\u003e7.7.1 True–False Questions 561\u003c\/p\u003e \u003cp\u003e7.7.2 Multiple Choice Questions 562\u003c\/p\u003e \u003cp\u003e7.8 Review Problems 565\u003c\/p\u003e \u003cp\u003e7.9 Applications 573\u003c\/p\u003e \u003cp\u003e7.9.1 Transforming Data: The Lognormal Distribution 573\u003c\/p\u003e \u003cp\u003eKey Terms 578\u003c\/p\u003e \u003cp\u003eAppendix A Sums and Products 579\u003c\/p\u003e \u003cp\u003eAppendix B Distribution Function of the Standard Normal Distribution 593\u003c\/p\u003e \u003cp\u003eAppendix C Simulation 595\u003c\/p\u003e \u003cp\u003eAppendix D Discrete and Continuous Distributions 599\u003c\/p\u003e \u003cp\u003eBibliography 603\u003c\/p\u003e \u003cp\u003eIndex 605\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406833557847,"sku":"9781118123348","price":103.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118123348.jpg?v=1730497273","url":"https:\/\/bookcurl.com\/products\/introduction-to-probability-9781118123348","provider":"Book Curl","version":"1.0","type":"link"}