TY  - BOOK
AU  - Scheaffer,Richard L.
AU  - Young,Linda J.
TI  - Introduction to probability and its applications
SN  - 9780534386719 
U1  - 519.2 22
PY  - 2010///]
CY  - Pacific Grove, Calif., London
PB  - Brooks/Cole, Cengage Learning [distributor]
KW  - Probabilities
N1  - Previous ed.: Belmont, Calif.: Duxbury, 1995; "Advanced series"--cover; Includes bibliographical references and index; 1; Probability in the World Around Us --; Why Study Probability? --; Deterministic and Probabilistic Models --; Modeling Reality --; Deterministic Models --; Probabilistic Models --; Applications in Probability --; A Brief Historical Note --; A Look Ahead --; 2; Foundations of Probability --; Understanding Randomness: An Intuitive Notion of Probability --; Randomness with Known Structure --; Randomness with Unknown Structure --; Sampling a Finite Universe --; Sample Space and Events --; Definition of Probability --; Counting Rules Useful in Probability --; More Counting Rules Useful in Probability --; Summary --; 3; Conditional Probability and Independence --; Conditional Probability --; Independence --; Theorem of Total Probability and Bayes' Rule --; Odds, Odds Ratios, and Relative Risk --; Summary --; 4; Discrete Probability Distributions --; Random Variables and Their Probability Distributions --; Expected Values of Random Variables --; The Bernoulli Distribution --; The Binomial Distribution --; Probability Function --; Mean and Variance --; History and Applications --; The Geometric Distribution --; Probability Function --; Mean and Variance --; An Alternate Parameterization: Number of Trials Versus Number of Failures --; The Negative Binomial Distribution --; Probability Function --; Mean and Variance --; An Alternate Parameterization: Number of Trials Versus Number of Failures --; History and Applications --; The Poisson Distribution --; Probability Function --; Mean and Variance --; History and Applications --; The Hypergeometric Distribution --; The Probability Function --; Mean and Variance --; History and Applications --; The Moment-generating Function --; The Probability-generating Function --; Markov Chains --; Summary --; 5; Continuous Probability Distributions --; Continuous Random Variables and Their Probability Distributions --; Expected Values of Continuous Random Variables --; The Uniform Distribution --; Probability Density Function --; Mean and Variance --; History and Applications --; The Exponential Distribution --; Probability Density Function --; Mean and Variance --; Properties --; History and Applications --; The Gamma Distribution --; Probability Density Function --; Mean and Variance --; History and Applications --; The Normal Distribution --; The Normal Probability Density Function --; Mean and Variance --; Calculating Normal Probabilities --; Applications to Real Data --; Quantile-Quantile (Q-Q) Plots --; History --; The Beta Distribution --; Probability Density Function --; Mean and Variance --; H istory and Applications --; The Weibull Distribution --; Probability Density Function --; Mean and Variance --; History and Applications to Real Data --; Reliability --; Hazard Rate Function --; Series and Parallel Systems --; Redundancy --; Moment-generating Functions for Continuous Random Variables --; Expectations of Discontinuous Functions and Mixed Probability Distributions --; Summary --; 6; Multivariate Probability Distributions --; Bivariate and Marginal Probability Distributions --; Conditional Probability Distributions --; Independent Random Variables --; Expected Values of Functions of Random Variables --; Conditional Expectations --; The Multinomial Distribution --; More on the Moment-Generating Function --; Compounding and Its Applications --; Summary --; 7; Functions of Random Variables --; Introduction --; Functions of Discrete Random Variables --; Method of Distribution Functions --; Method of Transformations in One Dimension --; Method of Conditioning --; Method of Moment-Generating Functions --; Gamma Case --; Normal Case --; Normal and Gamma Relationships --; Method of Transformation - Two Dimensions --; Order Statistics --; Probability-Generating Functions: Applications to Random Sums of Random Variables --; Summary --; 8; Some Approximations To Probability Distributions: Limit Theorems --; Introduction --; Convergence in Probability --; Convergence in Distribution --; The Central Limit Theorem --; Combination of Convergence in Probability and Convergence in Distribution --; Summary --; 9; Extensions of Probability Theory --; The Poisson Process --; Birth and Death Processes: Biological Applications --; Queues: Engineering Applications --; Arrival Times for the Poisson Process --; Infinite Server Queue --; Renewal Theory: Reliability Applications --; Summary
ER  -