Introduction to Probability and Its Applications

◆Overview:
This text focuses on the utility of probability in solving real-world problems for students in a one-semester calculus-based probability course. Theory is developed to a practical degree and grounded in discussion of its practical uses in solving real-world problems. Numerous applications using up-to-date real data in engineering and the life, social, and physical sciences illustrate and motivate the many ways probability affects our lives. The text’s accessible presentation carefully progresses from routine to more difficult problems to suit students of different backgrounds, and carefully explains how and where to apply methods. Students going on to more advanced courses in probability and statistics will gain a solid background in fundamental concepts and theory, while students who must apply probability to their courses engineering and the sciences will develop a working knowledge of the subject and appreciation of its practical power.

◆Features:
•Greater variety of applications—Many applied examples and problems, especially from the biological sciences, have been added to the existing array from the social and engineering sciences.
•Updated exercises using real data—Problems, often based on surveys from the U.S. Census or some other national survey, are updated with the most current data available.
•Expanded discussions of key topics—Among other changes, this edition includes more guidance on methods and when to use specific methods, a fuller discussion of sets as they relate to probability, and explanation of discrete multivariate distributions and transformations for discrete distributions.
•Applets for visualizing concepts—Referenced in the text and available on the Book Companion Website, applets provide an optional means for students’ active exploration by illustrating basic concepts while allowing for easy computations.
•Emphasis on practical aspects of probabilistic interpretation of data—Real-life applications from a variety of fields motivate the study of probability by illustrating the many ways it affects students’ lives.
•Theory presented in context—Theory is developed to a practical degree around models used in real-world applications, while proofs of theorems and “tricky” probability calculations are minimized.
•Variety of problems—Problem sets carefully progress from routine to more difficult to suit students from varying academic backgrounds.

Ch1 Probability in the World Around Us
Ch2 Foundations of Probability
Ch3 Conditional Probability and Independence
Ch4 Discrete Probability Distributions
Ch 5 Continuous Probability Distributions
Ch 6 Multivariate Probability Distributions
Ch 7 Functions of Random Variables
Ch 8 Some Approximations to Probability Distributions: Limit Theorems
Ch 9 Extensions of Probability Theory