1. COINS, DICE, AND CARDS Experiments and Events / Probabilities / Permutations and Combinations / Urn Problems / Repeated Experiments / Probabilities of Unions / Chapter Summary and Review Problems 2. CONDITIONAL PROBABILITY Independence / Conditional Probability / Two-Stage Experiments / Bayes Formula / Recursion / Chapter Summary and Review Problems 3. DISTRIBUTIONS Examples, Poisson Approximation to Binomial / Density and Distribution Functions / Functions of Random Variables / Joint Distributions / Marginal Distributions, Independence / Functions of Several Random Variables / Sums of Independent Random Variables / Conditional Distributions / Chapter Summary and Review Problems 4. EXPECTED VALUE Examples / Moments, Generating Functions / Properties of Expectation / Variance and Covariance / Correlation / Conditional Expectation / Chapter Summary and Review Problems 5. LIMIT THEOREMS Laws of Large Numbers / The Central Limit Theorem / Confidence Intervals / Hypothesis Testing / Chapter Summary and Review Problems / ANSWERS TO SELECTED EXERCISES / FORMULAS FOR IMPORTANT DISTRIBUTIONS / TABLE OF THE NORMAL DISTRIBUTION / INDEX.
The Essentials of Probability