Joint, Marginal, and Conditional Distributions (SOA Exam P – Multivariate Random Variables)

AnalystPrep Actuarial Exams Study Packages (video lessons, study notes, question bank, and quizzes) can be found at https://analystprep.com/shop/actuarial-exams-complete-courses-by-analystprep/ After completing this video you should be able to: - Explain and perform calculations concerning joint probability functions and cumulative distribution functions for discrete random variables only. Joint Probability (Density) Function 𝑓_(𝑟,𝑥)=𝑓_(𝑅,𝑋) (𝑟,𝑥)=Pr⁡(𝑅=𝑟∩𝑋=𝑥) (Joint) Cumulative Distribution Function 𝐹_(𝑅,𝑋) (𝑟,𝑥)=Pr⁡(𝑅≤𝑟∩𝑋≤𝑥)