Fundamental of Probability with Applications

(3 Credit Hours) · Undergraduate

University College Dublin: This module is an introduction to probability, with examples and applications. Topics covered will include: outcomes, events, and probability; independence; random variables and distributions; expected value, moments and variance; permutations and combinations; binomial, multinomial and Poisson distributions; conditional probability; continuous distributions; law of averages; central limit theorem. __________________________________________________________________________________________________________________ This unit develops mathematical methods essential in the study of probability together with the distribution theory required for a study of statistical inference. Topics include random variables and their distributions; joint and conditional distributions; a survey of common distributions and some of their applications; the Poisson process and related distributions; convergence of random variables and the central limit theorem; and an introduction to Markov chains