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Preface | p. V |
Introduction | p. 1 |
Equally Likely Outcomes | p. 2 |
Interpretations | p. 11 |
Distributions | p. 19 |
Conditional Probability and Independence | p. 33 |
Bayes' Rule | p. 47 |
Sequences of Events | p. 56 |
Summary | p. 73 |
Review Exercises | p. 74 |
Repeated Trials and Sampling | p. 79 |
The Binomial Distribution | p. 80 |
Normal Approximation: Method | p. 93 |
Normal Approximation: Derivation (Optional) | p. 111 |
Poisson Approximation | p. 117 |
Random Sampling | p. 123 |
Summary | p. 130 |
Review Exercises | p. 132 |
Random Variables | p. 139 |
Introduction | p. 139 |
Expectation | p. 162 |
Standard Deviation and Normal Approximation | p. 185 |
Discrete Distributions | p. 208 |
The Poisson Distribution | p. 222 |
Symmetry (Optional) | p. 237 |
Summary | p. 248 |
Review Exercises | p. 250 |
Continuous Distributions | p. 259 |
Probability Densities | p. 260 |
Exponential and Gamma Distributions | p. 278 |
Hazard Rates (Optional) | p. 296 |
Change of Variable | p. 302 |
Cumulative Distribution Functions | p. 311 |
Order Statistics (Optional) | p. 325 |
Summary | p. 334 |
Review Exercises | p. 336 |
Continuous Joint Distributions | p. 339 |
Uniform Distributions | p. 340 |
Densities | p. 346 |
Independent Normal Variables | p. 357 |
Operations (Optional) | p. 371 |
Summary | p. 386 |
Review Exercises | p. 387 |
Dependence | p. 393 |
Conditional Distributions: Discrete Case | p. 393 |
Conditional Expectation: Discrete Case | p. 401 |
Conditioning: Density Case | p. 410 |
Covariance and Correlation | p. 430 |
Bivariate Normal | p. 449 |
Summary | p. 464 |
Review Exercises | p. 466 |
Distribution Summaries | p. 475 |
Discrete | p. 476 |
Continuous | p. 477 |
Beta | p. 478 |
Binomial | p. 479 |
Exponential | p. 480 |
Gamma | p. 481 |
Geometric and Negative Binomial | p. 482 |
Hypergeometric | p. 483 |
Normal | p. 484 |
Poisson | p. 486 |
Uniform | p. 487 |
Examinations | p. 489 |
Solutions to Examinations | p. 498 |
Appendices | p. 505 |
Counting | p. 507 |
Sums | p. 515 |
Calculus | p. 517 |
Exponents and Logarithms | p. 525 |
Normal Table | p. 531 |
Brief Solutions to Odd-Numbered Exercises | p. 533 |
Index | p. 549 |
Table of Contents provided by Ingram. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.