Introduction to Probability

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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. 42 black-and-white illustrations.
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Introduction to Probability

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Overview

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. 42 black-and-white illustrations.
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Product Details

  • ISBN-13: 9780822100782
  • Publisher: Dickenson Publishing Company
  • Publication date: 1/28/1973
  • Pages: 247

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
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Customer Reviews

Average Rating 4.5
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  • Anonymous

    Posted July 7, 2007

    A reviewer

    This clearly and carefully written text introduces probability at a level suitable for first year university students. It begins with a discussion of enumerative combinatorics 'In how many ways ...?' because probability is classically defined as the ratio of the number of ways an event can occur divided by the total number of possible events. This leads to a discussion of the different approaches to probability, including the classical, frequentist, and subjective approaches. From there, Freund covers expectation and decision making, events, rules of probability, conditional probability, probability distributions (including the binomial, multinomial, hypergeometric, and geometric), Chebyshev's Theorem, and the Law of Large Numbers. Each topic is explained clearly and is copiously illustrated with examples that make the relevance and utility of probability clear. The exercises are tractable. Answers to the odd-numbered ones are provided, making the book suitable for self-study. It is not as good a reference. The book is meant to be read in the order in which it is written. Exercises often refer to preceding exercises or examples from earlier in the text. The text does what it is designed to do. It gives the reader who is willing to work through it an understanding of basic probability.

    1 out of 1 people found this review helpful.

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  • Anonymous

    Posted June 7, 2013

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