Designed for an intermediate undergraduate course, Probability and Statistics with R shows students how to solve various statistical problems using both parametric and nonparametric techniques via the open source software R. It provides numerous real-world examples, carefully explained proofs, end-of-chapter problems, and illuminating graphs to facilitate hands-on learning. Integrating theory with practice, the text briefly introduces the syntax, structures, and functions of the S language, before covering important graphically and numerically descriptive methods. The next several chapters elucidate probability and random variables topics, including univariate and multivariate distributions. After exploring sampling distributions, the authors discuss point estimation, confidence intervals, hypothesis testing, and a wide range of nonparametric methods. With a focus on experimental design, the book also presents fixed- and random-effects models as well as randomized block and two-factor factorial designs. The final chapter describes simple and multiple regression analyses. Demonstrating that R can be used as a powerful teaching aid, this comprehensive text presents extensive treatments of data analysis using parametric and nonparametric techniques. It effectively links statistical concepts with R procedures, enabling the application of the language to the vast world of statistics. - Provides real-world examples of how R can be used to solve problems in probability and statistics. - Contains an overview on how to use R so that novices understand how to solve the problems. - Explains the mathematics behind computational implementations. - Covers both traditional methods and nonparametric techniques, including goodness-of-fit tests, categorical data analysis, nonparametric bootstrapping, and permutation tests. - Uses regression analysis procedures to solve three interesting case studies based on real data. - Presents thoroughly worked-out derivations, detailed graphs, and abundant problems. - Offers data sets, functions, and other ancillary material on a supporting website. - Includes a solutions manual upon qualifying course adoptions.