Elementary Probability with Applications 1st Edition by Larry Rabinowitz 0367412756 9780367412753

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Product details:

ISBN 10: 0367412756

ISBN 13: 9780367412753

Author: Larry Rabinowitz

Probability plays an essential role in making decisions in areas such as business, politics, and sports, among others. Professor Rabinowitz, based on many years of teaching, has created a textbook suited for classroom use as well as for self-study that is filled with hundreds of carefully chosen examples based on real-world case studies about sports, elections, drug testing, legal cases, population growth, business, and more. His approach is innovative, practical, and entertaining. Elementary Probability with Applications will serve to enhance classroom instruction, as well as benefit those who want to review the basics of probability at their own pace. The text is used at several colleges and for some high school classes.

Table of contents:

1 Basic Concepts in Probability

1.1 Sample Spaces, Events, and Probabilities

1.2 Simulations

1.3 Complementary Events and Mutually Exclusive Events

1.4 Some Probability Rules

1.5 Problem Solving

1.6 Problems

2 Conditional Probability and the Multiplication Rule

2.1 Conditional Probability

2.2 Multiplication Rule

2.3 Independence

2.4 A Technique for Finding P(A or B or C or )

2.5 Problems

3 Combining the Addition and Multiplication Rules

3.1 Combining the Addition and Multiplication Rules

3.2 Simpson’s Paradox

3.3 Randomized Response Designs

3.4 Bayes’ Formula

3.5 Trees

3.6 Applications in Cryptology

3.7 Problems

4 Random Variables, Distributions, and Expected Values

4.1 Random Variables, Distributions, and Expected Values

4.2 Joint Distributions

4.3 Conditional Distributions

4.4 Conditional Expectation

4.5 Problems

5 Sampling without Replacement

5.1 Counting Formula

5.2 Probabilities for Sampling without Replacement

5.3 Problems

6 Sampling with Replacement

6.1 Binomial Model

6.2 Approximating Sums of Binomial Probabilities

6.3 Waiting Time Model

6.4 Problems

7 Some Simple Statistical Tests

7.1 Introduction

7.2 Binomial Tests

7.3 Tukey’s Quick Test

7.4 Problems

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Tags: Larry Rabinowitz, Elementary, Probability, Applications