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Robert P. Dobrow
Probability
Читать книгу Probability - Robert P. Dobrow - Страница 1
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Страница 1
Table of Contents
List of Tables
List of Illustrations
Guide
Pages
Страница 7
Страница 8
Страница 9
PREFACE
ACKNOWLEDGMENTS
ABOUT THE COMPANION WEBSITE
Страница 13
1 FIRST PRINCIPLES
Learning Outcomes
1.1 RANDOM EXPERIMENT, SAMPLE SPACE, EVENT
1.2 WHAT IS A PROBABILITY?
1.3 PROBABILITY FUNCTION
PROBABILITY FUNCTION
1.4 PROPERTIES OF PROBABILITIES
ADDITION RULE FOR MUTUALLY EXCLUSIVE EVENTS
EXTENSION OF ADDITION RULE FOR MUTUALLY EXCLUSIVE EVENTS
PROPERTIES OF PROBABILITIES
1.5 EQUALLY LIKELY OUTCOMES
1.6 COUNTING I
Multiplication principle
1.6.1 Permutations
COUNTING PERMUTATIONS
Sampling with and without replacement
1.7 COUNTING II
1.7.1 Combinations and Binomial Coefficients
COUNTING
k
-ELEMENT SUBSETS AND LISTS WITH
k
ONES
Perfect Bridge Hands
Binomial Theorem
1.8 PROBLEM-SOLVING STRATEGIES: COMPLEMENTS AND INCLUSION–EXCLUSION
INCLUSION–EXCLUSION
1.9 A FIRST LOOK AT SIMULATION
MONTE CARLO SIMULATION
R: SIMULATING THE PROBABILITY OF THREE HEADS IN THREE COIN TOSSES
R: SIMULATING THE DIVISIBILITY PROBABILITY
1.10 SUMMARY
EXERCISES Understanding Sample Spaces and Events
Probability Functions
Equally Likely Outcomes and Counting
Properties of Probabilities
Simulation and R
Chapter Review
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