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eMath 6: Probability and Statistics

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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.

Table of contents:

1 Preface
2 Basic Concepts in Statistics
2.1 Statistical Presentation
2.2 Charts
2.3 Measures of Center
2.4 Measures of Spread
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