The first four chapters introduce the basic concepts and techniques in probability theory, including the calculus of probability, conditional probability, independence of events, Bayes’s Theorem, random variables, probability distributions, moments and moment generating functions (mgf), probability generating functions (pgf), multivariate random variables, independence of random variables, standard probability inequalities, the exponential family of distributions, transformations and sampling distributions. The remainder of the book systematically develops the concepts of statistical inference.