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1 Burnside - Bldg. 2 Mathematics- Probability Theory

Introduction to Probability (Dover Books on Advanced Mathematics)

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Introduction to Probability (Dover Books on Advanced Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition.

Synopsis:

Lucid, well-written chapters introduce the reader to the concept of possibilities, including combinations and permutations; probabilities; expectations; the law of large numbers, including Chebyshev's theorem; and more. Numerous exercises throughout reinforce the methods and ideas explained. The volume demonstrates that the study of probability can be fun, challenging, and relevant.

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

Product Details

ISBN:
9780486675497
Author:
Freund, John E.
Publisher:
Dover Publications
Author:
Mathematics
Author:
Freund, John E.
Location:
New York :
Subject:
General
Subject:
Mathematics
Subject:
Statistics
Subject:
Probability
Subject:
Probabilities
Subject:
Probability & Statistics - General
Subject:
General Mathematics
Subject:
Mathematics | Probability and Statistics
Copyright:
Edition Number:
Dover ed.
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
[no. 3]
Publication Date:
19930531
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
272
Dimensions:
8.5 x 5.38 in 0.66 lb

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Introduction to Probability (Dover Books on Advanced Mathematics) Used Trade Paper
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Product details 272 pages Dover Publications - English 9780486675497 Reviews:
"Synopsis" by ,
Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition.
"Synopsis" by , Lucid, well-written chapters introduce the reader to the concept of possibilities, including combinations and permutations; probabilities; expectations; the law of large numbers, including Chebyshev's theorem; and more. Numerous exercises throughout reinforce the methods and ideas explained. The volume demonstrates that the study of probability can be fun, challenging, and relevant.
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