Probability with STEM Applications (3版)

Probability with STEM Applications, Third Edition, is an accessible and well-balanced introduction to post-calculus applied probability. Integrating foundational mathematical theory and the application of probability in the real world, this leading textbook engages students with unique problem scenarios and more than 1100 exercises of varying levels of difficulty. The text uses a hands-on, software-oriented approach to the subject of probability. MATLAB and R examples and exercises—complemented by computer code that enables students to create their own simulations— emonstrate the importance of software to solve problems that cannot be obtained analytically. Revised and updated throughout, the textbook covers basic properties of probability, random variables and their probability distributions, a brief introduction to statistical inference, Markov chains, stochastic processes, and signal processing. This new edition is the perfect text for a one-semester course and contains enough additional material for an entire academic year. The blending of theory and application will appeal not only to mathematics and statistics majors but also to engineering students, and quantitative business and social science majors.

Introduction 1 Introduction to Probability 2 Conditional Probability and Independence 3 Discrete Probability Distributions: General Properties 4 Families of Discrete Distributions 5 Continuous Probability Distributions: General Properties 6 Families of Continuous Distributions 7 Joint Probability Distributions 8 Joint Probability Distributions: Additional Topics 9 The Basics of Statistical Inference 10 Markov Chains 11 Random Processes 12 Families of Random Processes 13 Introduction to Signal Processing A Statistical Tables B Background mathematics C Important Probability Distributions