The probability that a tennis player wins the first set of a match is \(\frac{3}{5}\). If she wins the first set, the probability that she wins the second set is \(\frac{9}{10}\). If she loses the ...
Two events are independent if the probability of the first event happening has no impact on the probability of the second event happening. For example, the probability of rolling a 6 on a die will ...
What is it and how does it work? Probability and Statistics is an introductory statistics course offered through the Open Learning Initiative (OLI). It is designed to teach the basic concepts of ...
Provides a one-semester course in probability and statistics with applications in the engineering sciences. Probability of events, discrete and continuous random variables cumulative distribution, ...
Introduction to Probability and Statistics for Data Science provides a solid course in the fundamental concepts, methods and theory of statistics for students in statistics, data science, ...
Abstract: This paper studies the statistical analysis of cascaded Nakagami-m fading channels that are arbitrarily correlated and not necessarily identically distributed. The probability density ...
Let $X$ be a continuous random variable. A probability density function (pdf) $f(x)$ is an integrable function where \[\int\limits_a^b f(x) \mathrm{d} x = \mathrm{P ...
This module provides an introduction to probability and statistics. Axiomatic probability theory, including Bayes’ Theorem, is discussed briefly. Key discrete and continuous probability modules (such ...
Foundational issues in statistical mechanics and the more general question of how probability is to be understood in the context of physical theories are both areas that have been neglected by ...
Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...