Introduction to Probability with Mathematica

Updated to conform to Mathematica® 7.0, Introduction to Probability with Mathematica®, Second Edition continues to show students how to easily create simulations from templates and solve problems using Mathematica. It provides a real understanding of probabilistic modeling and the analysis of data and encourages the application of these ideas to practical problems. The accompanyingdownloadable resources offer instructors the option of creating class notes, demonstrations, and projects.New to the Second EditionExpanded section on Markov chains that includes a study of absorbing chainsNew sections on order statistics, transformations of multivariate normal random variables, and Brownian motionMore example data of the normal distribution More attention on conditional expectation, which has become significant in financial mathematicsAdditional problems from Actuarial Exam PNew appendix that gives a basic introduction to MathematicaNew examples, exercises, and data sets, particularly on the bivariate normal distributionNew visualization and animation features from Mathematica 7.0Updated Mathematica notebooks on the downloadable resources.After covering topics in discrete probability, the text presents a fairly standard treatment of common discrete distributions. It then transitions to continuous probability and continuous distributions, including normal, bivariate normal, gamma, and chi-square distributions. The author goes on to examine the history of probability, the laws of large numbers, and the central limit theorem. The final chapter explores stochastic processes and applications, ideal for students in operations research and finance.