Introduction to Probability with Statistical Applications

Introduction to Probability with Statistical Applications targets non-mathematics students, undergraduates and graduates, who do not need an exhaustive treatment of the subject. While the presentation is rigorous and contains theorems and proofs, linear algebra is largely avoided and only a minimal amount of multivariable calculus is needed. Key features: Clear definitions, simplified notation and techniques of statistical analysis, combined with well-chosen examples and exercises, motivate the exposition Theory and applications carefully balanced Topics include random phenomena -- discrete and continuous random variables -- expectations and variance, and common probability distributions such as the binomial, Poisson, and normal Combinatorial principles involve all four arithmetic operations; emphasis on tree diagrams References to more advanced concepts throughout the book, but may be safely skipped, depending on the reader For students in a variety of disciplines, including computer science, engineering, natural and social sciences.