?
A?
VI
TU
_S
ED
OV
PR
AP
,AP
TABLE OF CONTENTS
Solutions Manual: Probability and Statistics for Engineers and Scientists, 4th Edition
PR By Anthony Hayter
Chapter 1 OV Probability Theory
Chapter 2 Random Variables
Chapter 3 Discrete Probability Distributions
Chapter 4 Continuous Probability Distributions
ED
Chapter 5 The Normal Distribution
Chapter 6 Descriptive Statistics
Chapter 7 Statistical Estimation and Sampling Distributions
Chapter 8
_S
Inferences on a Population Mean
Chapter 9 Comparing Two Population Means TU
Chapter 10 Discrete Data Analysis
Chapter 11 The Analysis of Variance
Chapter 12 Simple Linear Regression and Correlation
Chapter 13 Multiple Linear Regression and Nonlinear Regression
VI
Chapter 14 Multifactor Experimental Design and Analysis
Chapter 15 Nonparametric Statistical Analysis
A?
Chapter 16 Quality Control Methods ?
Chapter 17 Reliability Analysis and Life Testing
, 1
AP
Instructor Solution Manual
This instructor solution manual to accompany the fourth edition of
PR
“Probability and Statistics for Engineers and Scientists” by Anthony Hayter
provides worked solutions and answers to almost all of the problems given in the textbook.
The student solution manual provides worked solutions and answers to only the odd-numbered
OV
problems given at the end of the chapter sections. In addition to the material contained in
the student solution manual, this instructor manual therefore provides worked solutions and
answers to the even-numbered problems given at the end of the chapter sections together with
almost all of the supplementary problems at the end of each chapter.
ED
_S
TU
VI
A?
?
, AP
PR
Contents OV
1 Probability Theory 7
1.1 Probabilities.............................................................................................................................. 7
ED
1.2 Events........................................................................................................................................9
1.3 Combinations of Events........................................................................................................ 12
1.4 Conditional Probability........................................................................................................ 15
1.5 Probabilities of Event Intersections.....................................................................................20
1.6 Posterior Probabilities............................................................................................................26
_S
1.7 Counting Techniques.............................................................................................................30
1.10 Supplementary Problems...................................................................................................... 35
2 Random Variables
TU 47
2.1 Discrete Random Variables.................................................................................................. 47
2.2 Continuous Random Variables.............................................................................................52
2.3 The Expectation of a Random Variable............................................................................. 56
2.4 The Variance of a Random Variable................................................................................... 60
VI
2.5 Jointly Distributed Random Variables..............................................................................66
2.6 Combinations and Functions of Random variables...........................................................75
2.9 Supplementary Problems...................................................................................................... 84
A?
3 Discrete Probability Distributions 93
3.1 The Binomial Distribution.................................................................................................. 93
3.2 The Geometric and Negative Binomial Distributions........................................................97
3.3 The Hypergeometric Distribution.......................................................................................100
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3.4 The Poisson Distribution...................................................................................................103
3.5 The Multinomial Distribution.............................................................................................105
3.8 Supplementary Problems.................................................................................................... 107
4 Continuous Probability Distributions 113
4.1 The Uniform Distribution................................................................................................. 113
4.2 The Exponential Distribution...........................................................................................116
4.3 The Gamma Distribution..................................................................................................119
4.4 The Weibull Distribution................................................................................................... 121
4.5 The Beta Distribution....................................................................................................... 123
4.8 Supplementary Problems.................................................................................................... 125
3
A?
VI
TU
_S
ED
OV
PR
AP
,AP
TABLE OF CONTENTS
Solutions Manual: Probability and Statistics for Engineers and Scientists, 4th Edition
PR By Anthony Hayter
Chapter 1 OV Probability Theory
Chapter 2 Random Variables
Chapter 3 Discrete Probability Distributions
Chapter 4 Continuous Probability Distributions
ED
Chapter 5 The Normal Distribution
Chapter 6 Descriptive Statistics
Chapter 7 Statistical Estimation and Sampling Distributions
Chapter 8
_S
Inferences on a Population Mean
Chapter 9 Comparing Two Population Means TU
Chapter 10 Discrete Data Analysis
Chapter 11 The Analysis of Variance
Chapter 12 Simple Linear Regression and Correlation
Chapter 13 Multiple Linear Regression and Nonlinear Regression
VI
Chapter 14 Multifactor Experimental Design and Analysis
Chapter 15 Nonparametric Statistical Analysis
A?
Chapter 16 Quality Control Methods ?
Chapter 17 Reliability Analysis and Life Testing
, 1
AP
Instructor Solution Manual
This instructor solution manual to accompany the fourth edition of
PR
“Probability and Statistics for Engineers and Scientists” by Anthony Hayter
provides worked solutions and answers to almost all of the problems given in the textbook.
The student solution manual provides worked solutions and answers to only the odd-numbered
OV
problems given at the end of the chapter sections. In addition to the material contained in
the student solution manual, this instructor manual therefore provides worked solutions and
answers to the even-numbered problems given at the end of the chapter sections together with
almost all of the supplementary problems at the end of each chapter.
ED
_S
TU
VI
A?
?
, AP
PR
Contents OV
1 Probability Theory 7
1.1 Probabilities.............................................................................................................................. 7
ED
1.2 Events........................................................................................................................................9
1.3 Combinations of Events........................................................................................................ 12
1.4 Conditional Probability........................................................................................................ 15
1.5 Probabilities of Event Intersections.....................................................................................20
1.6 Posterior Probabilities............................................................................................................26
_S
1.7 Counting Techniques.............................................................................................................30
1.10 Supplementary Problems...................................................................................................... 35
2 Random Variables
TU 47
2.1 Discrete Random Variables.................................................................................................. 47
2.2 Continuous Random Variables.............................................................................................52
2.3 The Expectation of a Random Variable............................................................................. 56
2.4 The Variance of a Random Variable................................................................................... 60
VI
2.5 Jointly Distributed Random Variables..............................................................................66
2.6 Combinations and Functions of Random variables...........................................................75
2.9 Supplementary Problems...................................................................................................... 84
A?
3 Discrete Probability Distributions 93
3.1 The Binomial Distribution.................................................................................................. 93
3.2 The Geometric and Negative Binomial Distributions........................................................97
3.3 The Hypergeometric Distribution.......................................................................................100
?
3.4 The Poisson Distribution...................................................................................................103
3.5 The Multinomial Distribution.............................................................................................105
3.8 Supplementary Problems.................................................................................................... 107
4 Continuous Probability Distributions 113
4.1 The Uniform Distribution................................................................................................. 113
4.2 The Exponential Distribution...........................................................................................116
4.3 The Gamma Distribution..................................................................................................119
4.4 The Weibull Distribution................................................................................................... 121
4.5 The Beta Distribution....................................................................................................... 123
4.8 Supplementary Problems.................................................................................................... 125
3
