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The title of this book is perhaps misleading, as there is no statistics within. It is instead a fairly straightforward introduction to mathematical probability, which is the foundation of mathematical statistics. One could follow this course with a rigorous treatment of statistics, beyond that usually seen in most introductory statistics courses.

Our study of the subject of probability will be guided by some overarching goals, and essential questions related to those goals. Upon completion of his/her study, the student should

• understand the basic properties of sets, functions, infinite sums and integrals as they apply to the study of probability, • be able to solve problems using principles of counting and classical probability, • understand probability functions and cumulative probability functions for discrete, continuous and joint distributions, • be able to apply commonly used distributions to solve problems, • be able to express understanding and methodology of problem-solving using correct and precise notation.

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