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 |  موضوع: حل كتاب Probability and Statistics for Engineers and Scientists Instructor Solution Manual الإثنين 01 أكتوبر 2018, 3:48 pm | |
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Probability and Statistics for Engineers and Scientists Instructor Solution Manual (3rd Edition)
Anthony Hayter
ويتناول الموضوعات الأتية :
Contents
1 Probability Theory 7
1.1 Probabilities . 7
1.2 Events 9
1.3 Combinations of Events 13
1.4 Conditional Probability 16
1.5 Probabilities of Event Intersections 22
1.6 Posterior Probabilities . 28
1.7 Counting Techniques 32
1.9 Supplementary Problems 37
2 Random Variables 49
2.1 Discrete Random Variables 49
2.2 Continuous Random Variables . 54
2.3 The Expectation of a Random Variable . 58
2.4 The Variance of a Random Variable . 62
2.5 Jointly Distributed Random Variables 68
2.6 Combinations and Functions of Random variables 77
2.8 Supplementary Problems 86
3 Discrete Probability Distributions 95
3.1 The Binomial Distribution . 95
3.2 The Geometric and Negative Binomial Distributions 99
3.3 The Hypergeometric Distribution . 102
3.4 The Poisson Distribution . 105
3.5 The Multinomial Distribution . 107
3.7 Supplementary Problems 109
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
4.7 Supplementary Problems 125
34 CONTENTS
5 The Normal Distribution 129
5.1 Probability Calculations using the Normal Distribution 129
5.2 Linear Combinations of Normal Random Variables . 135
5.3 Approximating Distributions with the Normal Distribution 140
5.4 Distributions Related to the Normal Distribution 144
5.6 Supplementary Problems 148
6 Descriptive Statistics 157
6.1 Experimentation 157
6.2 Data Presentation . 159
6.3 Sample Statistics 161
6.6 Supplementary Problems 164
7 Statistical Estimation and Sampling Distributions 167
7.2 Properties of Point Estimates . 167
7.3 Sampling Distributions . 170
7.4 Constructing Parameter Estimates 176
7.6 Supplementary Problems 177
8 Inferences on a Population Mean 183
8.1 Confidence Intervals 183
8.2 Hypothesis Testing . 189
8.5 Supplementary Problems 196
9 Comparing Two Population Means 205
9.2 Analysis of Paired Samples 205
9.3 Analysis of Independent Samples . 209
9.6 Supplementary Problems 218
10 Discrete Data Analysis 225
10.1 Inferences on a Population Proportion 225
10.2 Comparing Two Population Proportions . 232
10.3 Goodness of Fit Tests for One-way Contingency Tables . 240
10.4 Testing for Independence in Two-way Contingency Tables . 246
10.6 Supplementary Problems 251
11 The Analysis of Variance 263
11.1 One Factor Analysis of Variance . 263
11.2 Randomized Block Designs 273
11.4 Supplementary Problems 281
12 Simple Linear Regression and Correlation 287
12.1 The Simple Linear Regression Model . 287
12.2 Fitting the Regression Line 289
12.3 Inferences on the Slope Parameter ?ˆ1 . 292
12.4 Inferences on the Regression Line . 296
12.5 Prediction Intervals for Future Response Values . 298
12.6 The Analysis of Variance Table 300
12.7 Residual Analysis 302CONTENTS 5
12.8 Variable Transformations . 303
12.9 Correlation Analysis 305
12.11Supplementary Problems 306
13 Multiple Linear Regression and Nonlinear Regression 317
13.1 Introduction to Multiple Linear Regression . 317
13.2 Examples of Multiple Linear Regression . 320
13.3 Matrix Algebra Formulation of Multiple Linear Regression . 322
13.4 Evaluating Model Accuracy 327
13.6 Supplementary Problems 328
14 Multifactor Experimental Design and Analysis 333
14.1 Experiments with Two Factors 333
14.2 Experiments with Three or More Factors 336
14.3 Supplementary Problems 340
15 Nonparametric Statistical Analysis 343
15.1 The Analysis of a Single Population . 343
15.2 Comparing Two Populations . 347
15.3 Comparing Three or More Populations 350
15.4 Supplementary Problems 354
16 Quality Control Methods 359
16.2 Statistical Process Control . 359
16.3 Variable Control Charts 361
16.4 Attribute Control Charts . 363
16.5 Acceptance Sampling 364
16.6 Supplementary Problems 365
17 Reliability Analysis and Life Testing 367
17.1 System Reliability . 367
17.2 Modeling Failure Rates 369
17.3 Life Testing . 372
17.4 Supplementary Problems
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