# Introduction to Probability with Statistical Applications

Birkhäuser, Jun 17, 2016 - Mathematics - 385 pages

Now in its second edition, this textbook serves as an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and common probability distributions such as the binomial, Poisson, and normal distributions. More classical examples such as Montmort's problem, the ballot problem, and Bertrand’s paradox are now included, along with applications such as the Maxwell-Boltzmann and Bose-Einstein distributions in physics.

Key features in new edition:

* 35 new exercises

* Expanded section on the algebra of sets

* Expanded chapters on probabilities to include more classical examples

* New section on regression

* Online instructors' manual containing solutions to all exercises“/p>

Advanced undergraduate and graduate students in computer science, engineering, and other natural and social sciences with only a basic background in calculus will benefit from this introductory text balancing theory with applications.

Review of the first edition:

This textbook is a classical and well-written introduction to probability theory and statistics. ... the book is written ‘for an audience such as computer science students, whose mathematical background is not very strong and who do not need the detail and mathematical depth of similar books written for mathematics or statistics majors.’ ... Each new concept is clearly explained and is followed by many detailed examples. ... numerous examples of calculations are given and proofs are well-detailed." (Sophie Lemaire, Mathematical Reviews, Issue 2008 m)

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### Contents

 1 Introduction 2 2 The Algebra of Events 5 3 Combinatorial Problems 24 4 Probabilities 53 5 Random Variables 104 6 Expectation Variance and Moments 173 7 Some Special Distributions 229
 8 The Elements of Mathematical Statistics 279 Tables 350 Answers and Hints to Selected OddNumberedExercises 357 References 378 Index 381 Copyright