# eMath 6 Probability and Statistics (OPS03)

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## eMath 6: Probability and Statistics

The e-book is structured so that you will learn all concepts in a logical order and it is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments. The assignments can be solved directly in the book. You can easily write mathematics on the computer with the eMathStudio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions.
Each eMath book includes:
• 300-400 assignments + answers, in three levels of complexity
• Numerous example solutions
• Possibility to check the correctness of the calculation

Overview: This book gives an overview of the basic notions of probability and statistics. The basic statistical measures are covered, as well as surveys and samples. The concept of probability is explained, together with the basics of combinatorics. The rules of probability are explained, to show how to compute with probabilities, and the notion of a random variable is explained.

1 Preface
2 Basic Concepts in Statistics
2.1 Statistical Presentation
2.2 Charts
2.3 Measures of Center
3 The Concept of Probability
3.1 Set Theory
3.2 Classical Probability
3.3 Geometric Probability
4 Combinatorics
4.1 The Multiplication and Addition Principles
4.2 Permutations
4.3 Combinations
4.4 Combinatorics and Probability
5 Rules for Probability
5.1 Basic Rules
5.2 Conditional Probability
5.3 The Multiplicative Rule
5.4 Consequences of Conditional Probability
6 Random Variables
6.1 Distributions
6.2 Statistical Probability
6.3 Statistics of Discrete Random Variables
6.4 Normal Distribution
7 Probability and Statistics
7.1 Sample Surveys