Suitable for a first course in probability theory, this textbook covers theory in an accessible manner and includes numerous practical examples based on engineering applications. The book begins with a summary of set theory and then introduces probability and its axioms. It covers conditional probability, independence, and approximations. An important aspect of the text is the fact that examples are not presented in terms of "balls in urns". Many examples do relate to gambling with coins, dice and cards but most are based on observable physical phenomena familiar to engineering students.
Chapter 1 : Introduction
Chapter 2 : Set Theory Review
Chapter 3 : Probability Basics
Chapter 4 : Random Variables and Distributions
Chapter 5 : Functions of Random Variables and Expectation
Chapter 6 : Joint, Marginal and Conditional Distributions
Chapter 7 : Moments and Moment Generating Functions
Chapter 8 : Sums of Independent Random Variables
Chapter 9 : Approximations and Limiting Behavior
Appendices
Tables
