| Preface | p. vii |
| Introduction | p. 1 |
| The Beginnings of Probability | p. 1 |
| Examples of Applications | p. 2 |
| Relative Frequencies | p. 4 |
| Elementary Probabilities | p. 7 |
| Basic Concepts | p. 7 |
| Probability | p. 10 |
| Combinatorial Analysis | p. 13 |
| Conditional Probability | p. 18 |
| Independence | p. 21 |
| Exercises, Problems, and Multiple Choice Questions | p. 26 |
| Random Variables | p. 55 |
| Introduction | p. 55 |
| The Distribution Function | p. 57 |
| The Probability Mass and Density Functions | p. 64 |
| Important Discrete Random Variables | p. 70 |
| Important Continuous Random Variables | p. 82 |
| Transformations | p. 92 |
| Mathematical Expectation and Variance | p. 95 |
| Transforms | p. 103 |
| Reliability | p. 108 |
| Exercises, Problems, and Multiple Choice Questions | p. 111 |
| Random Vectors | p. 157 |
| Introduction | p. 157 |
| Random Vectors of Dimension 2 | p. 158 |
| Conditionals | p. 166 |
| Random Vectors of Dimension n < 2 | p. 170 |
| Transformations of Random Vectors | p. 172 |
| Covariance and Correlation | p. 176 |
| Multinormal Distribution | p. 179 |
| Estimation of a Random Variable | p. 182 |
| Linear Combinations | p. 185 |
| The Laws of Large Numbers | p. 188 |
| The Central Limit Theorem | p. 189 |
| Exercises, Problems, and Multiple Choice Questions | p. 195 |
| Stochastic Processes | p. 221 |
| Introduction | p. 221 |
| Characteristics of Stochastic Processes | p. 222 |
| Markov Chains | p. 225 |
| The Poisson Process | p. 228 |
| The Wiener Process | p. 232 |
| Stationarity | p. 235 |
| Ergodicity | p. 238 |
| Exercises, Problems, and Multiple Choice Questions | p. 240 |
| Estimation and Testing | p. 253 |
| Point Estimation | p. 253 |
| Estimation by Confidence Intervals | p. 258 |
| (Pearson's) Chi-Square Goodness-of-Fit Test | p. 262 |
| Tests of Hypotheses on the Parameters | p. 266 |
| Exercises, Problems, and Multiple Choice Questions, Supplementary Exercises | p. 279 |
| Simple Linear Regression | p. 307 |
| Introduction: The Model | p. 307 |
| Tests of Hypotheses | p. 310 |
| Confidence Intervals and Ellipses | p. 313 |
| The Coefficient of Determination | p. 315 |
| The Analysis of Residuals | p. 315 |
| Curvilinear Regression | p. 318 |
| Correlation | p. 321 |
| Exercises, Problems, and Multiple Choice Questions, Supplementary Exercises | p. 324 |
| Mathematical Formulas | p. 339 |
| Quantiles of the Sampling Distributions | p. 341 |
| Classification of the Exercises | p. 345 |
| Answers to the Multiple Choice Questions | p. 347 |
| Answers to Selected Supplementary Exercises | p. 349 |
| Bibliography | p. 351 |
| Index | p. 353 |
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