Probability - Random Variables

Overview

This Probability - Random Variables Professional Certificate in collaboration with The Georgia Institute of Technology - GTx consists of two mini-courses: (1) A Gentle Introduction to Probability; and (2) Random Variables – Great Expectations to Bell Curves.

The first course provides an introduction to basic probability concepts. Our emphasis is on applications in science and engineering, with the goal of enhancing modeling and analysis skills for a variety of real-world problems.

In order to make the course completely self-contained (and to bring back long-lost memories), we’ll start off with Bootcamp lessons to review concepts from set theory and calculus. We’ll then discuss the probability axioms that serve as the basis for all of our subsequent work – what makes probability tick?

The next venues on our tour are the concepts of independence and conditional probability, which allow us to see how the probabilities of different events are related to each other, and how new information can be used to update probabilities. The course culminates in a discussion of Bayes Rule and its various interesting consequences related to probability updates.

The second course discusses properties and applications of random variables.

Job Outlook

• This course is ideal for folks in business, industry, and science, who seek to use probability and statistics in wide-ranging application areas – everything from engineering to agriculture to psychology to sports analytics to healthcare.