Introduction to Probability

by Freund, John E.

• ISBN13: 9780486675497
• ISBN10: 0486675491
• Edition: Reprint
• Format: Paperback
• Copyright: 1993-05-19
• Publisher: Dover Publications

Summary

Thorough, lucid coverage of permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, binomial distribution, geometric distribution, standard deviation, law of large numbers and much more. Exercises with some solutions. Summary. Bibliography. Includes 42 black-and-white illustrations. 1973 edition.

Table of Contents

INTRODUCTION
1 POSSIBILITIES
    Introduction
    Tree Diagrams
    Multiplication Rules
    Permutations
    Factorials
    Indistinguishable Objects
    Combinations
    Binomial Coefficients
2 PROBABILITIES
    Introduction
    The Classical Concept
    Probabilities and Odds
    The Frequency Interpretation
    Subjective Probabilities
    Summary
3 EXPECTATIONS
    Introduction
    Mathematical Expectation
    Expectations and Subjective Probabilities
    Utility
    Decision Making
4 EVENTS
    Introduction
    The Sample Space
    Events
    Compound Events
    The Number of Elements in a Set
5 RULES OF PROBABILITY
    Introduction
    The Postulates of Probability
    Probability Measures
    Some Further Rules
    General Addition Rules
6 CONDITIONAL PROBABILITIES
    Introduction
    Conditional Probability
    Multiplication Rules
    Rule of Elimination
    Bayes' Rule
7 PROBABILITY DISTRIBUTIONS
    Introduction
    Probability Functions
    The Mean
    The Binomial Distribution
    Binomial Tables
    A Bayesian Application
    The Hypergeometric Distribution
    The Geometric Distribution
    The Multinomial Distribution
8 THE LAW OF LARGE NUMBERS
    Introduction
    The Standard Deviation
    Chebyshev's Theorem
    The Law of Large Numbers
    Technical Note
SUMMARY
BIBLIOGRAPHY
TABLES
ANSWERS TO ODD-NUMBERED EXERCISES
INDEX