Probability and Statistics

Probability theory is the mathematical study of uncertainty. It plays a central role in machine learning, as the design of learning algorithms often relies on probabilistic assumption of the data.This book covers This introduction presents the mathematical theory of probability for readers in the fields of engineering and the sciences who possess knowledge of elementary calculus. Presents new examples and exercises throughout. Offers a new section that presents an elegant way of computing the moments of random variables defined as the number of events that occur.This book is an excellent choice for anyone who is interested in learning the elementary probability theory.We believe that many foundational ideas of Probability and Statistics are best understood when their natural connection is emphasised. We feel that the interested student should learn the mathematical rigour of Probability, the motivating examples and techniques from Statistics, and an instructive technology to perform computations relating to both in an inclusive manner. These formed our main motivations for writing this book.