Introduction to Probability, Second Edition Edition: 2

Developed from celebrated Harvard statistics lectures,Introduction to Probabilityprovides essential language and toolsfor understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory.The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they usestoriesto uncover connections between the fundamental distributions in statistics andconditioningto reduce complicated problems to manageable pieces.The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.The second edition adds many new examples, exercises, and explanations, [...]to deepen understanding of the ideas, clarify subtle concepts, and respond to feedback from many students and readers. New supplementary online resources have been developed, including animations and interactive visualizations, and the book has been updated to dovetail with these resources.