Probability and Statistics: Random Variables
This course is part of Probability/Random Variables.
This advanced probability course delves into the properties and applications of random variables, both discrete and continuous. You'll explore fundamental concepts like expected values, variance, and moment generating functions. The course covers joint random variables, conditional probability, independence, and correlation. Through practical examples and R programming, you'll learn to model real-world scenarios and perform statistical analysis. The curriculum includes computer simulations and applications, preparing you for advanced statistics courses and real-world probability modeling.
6,741 already enrolled
Instructors:
English
English
Powered by
What you'll learn
Identify and analyze discrete and continuous random variables
Calculate expected values variance and moment generating functions
Apply random variable concepts in computer simulations
Work with joint random variables and extract marginal information
Understand independence and correlation in probability theory
Use R statistical package for probability calculations
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, Exams
Access on Mobile, Tablet, Desktop
Limited Access access
Shareable certificate
Closed caption
Get a Completion Certificate
Share your certificate with prospective employers and your professional network on LinkedIn.
Created by
Provided by
Top companies offer this course to their employees
Top companies provide this course to enhance their employees' skills, ensuring they excel in handling complex projects and drive organizational success.
There are 2 modules in this course
This comprehensive course covers the mathematical foundations and practical applications of random variables in probability and statistics. Students learn about discrete and continuous random variables, probability distributions, expected values, and variance. The curriculum includes advanced topics like moment generating functions, joint distributions, and correlation analysis. Practical applications are emphasized through R programming exercises and real-world examples. The course combines theoretical understanding with computational methods to prepare students for advanced statistical analysis.
Univariate Random Variables
Module 1
Bivariate Random Variables
Module 2
Fee Structure
Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: Probability/Random Variables
Instructor
8 Courses
A Distinguished Scholar in Operations Research and Simulation
David Goldsman serves as the Coca-Cola Foundation Professor in the School of Industrial and Systems Engineering at Georgia Tech, where he has established himself as a leading expert in computer simulation and applied statistics since 1984. After completing degrees from Syracuse University (BS/BA in Math/Physics, MS in Math and Computer Science) and Cornell University (MS and PhD in Operations Research), he has made seminal contributions to simulation methodology and applications. His research focuses on computer simulation with emphasis on statistical output analysis, applied probability, ranking and selection, and applications in health systems and airline safety. His excellence has been recognized through numerous awards including the 2023 INFORMS Simulation Society Lifetime Professional Achievement Award, the 2020 INFORMS Fellow Award, and multiple teaching honors including the Alpha Pi Mu Teacher of the Year Award. Beyond his research contributions, which include over 80 journal articles garnering more than 8,800 citations, he has supervised 34 PhD students and served in key leadership roles including Director of Master's Programs at Georgia Tech's ISyE school. His impact extends beyond academia through consulting work in healthcare, airlines, automotive, and banking industries, while maintaining active involvement in professional societies and editorial boards of leading journals in the field.
Testimonials
Testimonials and success stories are a testament to the quality of this program and its impact on your career and learning journey. Be the first to help others make an informed decision by sharing your review of the course.
Frequently asked questions
Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.