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Index
Cover Page
Half Title
Epigraph
Title
Copyright
Dedication
About the Author
ContentsÂ
Preface
Acknowledgments
Chapter 1: Basic Concepts
Probability Experiments
Classical Probability
Probability Rules
Empirical Probability
Law of Large Numbers
Subjective Probability
Summary
Quiz
Chapter 2: Sample Spaces
Tree Diagrams
Tables
Summary
Quiz
Chapter 3: The Addition Rules
Mutually Exclusive Events
Addition Rule I
Addition Rule II
Summary
Quiz
Chapter 4: The Multiplication Rules
Independent and Dependent Events
Multiplication Rule I
Multiplication Rule II
Conditional Probability
Summary
Quiz
Chapter 5: Odds and Expectation
Odds
Expectation
Summary
Quiz
Chapter 6: The Counting Rules
The Fundamental Counting Rule
Factorials
Permutations
Combinations
Probability and the Counting Rules
Summary
Quiz
Chapter 7: The Binomial Distribution
Discrete Probability Distributions
The Mean and Standard Deviation for a Binomial Distribution
Quiz
Chapter 8: Other Probability Distributions
The Multinomial Distribution
The Hypergeometric Distribution
The Geometric Distribution
The Poisson Distribution
Summary
Quiz
Chapter 9: The Normal Distribution
Populations and Samples
Measures of Average
Measures of Variability
The Normal Distribution
The Standard Normal Distribution
Summary
Quiz
Chapter 10: Simulation
The Monte Carlo Method
Summary
Quiz
Chapter 11: Game Theory
Two-Person Games
Summary
Quiz
Chapter 12: Actuarial Science
Mortality Tables
Life Insurance Policies
Summary
Quiz
Final Exam
Answers to Quizzes and Final Exam
Appendix: Bayes’ Theorem
Index
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