Page 9 - Applied Statistics And Probability For Engineers
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PQ220 6234F.FM 5/30/02 1:02 PM Page ix RK UL 6 RK UL 6:Desktop Folder:untitled folder:
Contents
CHAPTER 1 The Role of 3-3 Cumulative Distribution
Statistics in Engineering 1 Functions 63
3-4 Mean and Variance of a Discrete
1-1 The Engineering Method and Random Variable 66
Statistical Thinking 2
1-2 Collecting Engineering Data 5 3-5 Discrete Uniform Distribution 70
Binomial Distribution 72
3-6
1-2.1 Basic Principles 5
1-2.2 Retrospective Study 5 3-7 Geometric and Negative Binomial
1-2.3 Observational Study 6 Distributions 78
1-2.4 Designed Experiments 6 3-7.1 Geometric Distribution 78
1-2.5 A Factorial Experiment for 3-7.2 Negative Binomial
the Connector Pull-Off Force Distribution 80
Problem (CD Only) 8 3-8 Hypergeometric Distribution 84
1-2.6 Observing Processes Over Time 8 3-9 Poisson Distribution 89
1-3 Mechanistic and Empirical Models 11
1-4 Probability and Probability Models 14 CHAPTER 4 Continuous Random
Variables and Probability
CHAPTER 2 Probability 16 Distributions 97
2-1 Sample Spaces and Events 17 4-1 Continuous Random
2-1.1 Random Experiments 17 Variables 98
2-1.2 Sample Spaces 18
4-2 Probability Distributions
2-1.3 Events 22
and Probability Density
2-1.4 Counting Techniques
Functions 98
(CD Only) 25
4-3 Cumulative Distribution
2-2 Interpretations of Probability 27
Functions 102
2-2.1 Introduction 27
4-4 Mean and Variance of a
2-2.2 Axioms of Probability 30
2-3 Addition Rules 33 Continuous Random Variable 105
2-4 Conditional Probability 37 4-5 Continuous Uniform
2-5 Multiplication and Total Probability Distribution 107
Rules 42 4-6 Normal Distribution 109
2-5.1 Multiplication Rule 42 4-7 Normal Approximation to the
2-5.2 Total Probability Rule 43 Binomial and Poisson
2-6 Independence 46 Distributions 118
2-7 Bayes’ Theorem 51 4-8 Continuity Corrections to
2-8 Random Variables 53 Improve the Approximation
(CD Only) 122
CHAPTER 3 Discrete Random 4-9 Exponential Distribution 122
Variables and Probability 4-10 Erlang and Gamma
Distributions 59 Distribution 128
4-10.1 Erlang Distribution 128
3-1 Discrete Random Variables 60 4-10.2 Gamma Distribution 130
3-2 Probability Distributions and 4-11 Weibull Distribution 133
Probability Mass Functions 61 4-12 Lognormal Distribution 135
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