Estadistica en ingles

TLFeBOOK

FUNDAMENTALS OF PROBABILITY
AND STATISTICS FOR ENGINEERS

T.T. Soong
State University of New York at Buffalo, Buffalo, New York, USA

TLFeBOOK

TLFeBOOK

FUNDAMENTALS OF
PROBABILITY AND
STATISTICS FOR
ENGINEERS

TLFeBOOK

TLFeBOOK

FUNDAMENTALS OF PROBABILITY
AND STATISTICS FOR ENGINEERS

T.T. Soong
State University of New York at Buffalo, Buffalo, NewYork, USA

TLFeBOOK

C opyright  2004

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TLFeBOOK

T o the memory of my parents

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TLFeBOOK

C ontents
PREFACE
1 INTRODUCTION
1.1 Organization of Text
1.2 Probability Tables and Computer Software
1.3 Prerequisites

xiii
1
2
3
3

PART A:PROBABILITY AND RANDOM VARIABLES

5

2 BASIC PROBABILITY CONCEPTS

7

2.1 Elements of Set Theory
2.1.1 Set Operations
2.2 Sample Space and Probability Measure
2.2.1 Axioms of Probability
2.2.2 Assignment of Probability
2.3 Statistical Independence
2.4 Conditional Probability
R eference
F urther R eading
Problems
3 RANDOM VARIABLES AND PROBABILITY
DISTRIBUTIONS
3.1 R andom Variables3.2 Probability Distributions
3.2.1 Probability D istribution F unction
3.2.2 Probability M ass F unction for D iscrete R andom
Variables

8
9
12
13
16
17
20
28
28
28

37
37
39
39
41

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viii
3.2.3 Probability D ensity F unction for Continuous R andom
Variables
3.2.4 M ixed-Type D istribution
3.3 Two or M ore R andom Variables
3.3.1 Joint Probability D...