AnalystPrep Actuarial Exams Study Packages (video lessons, study notes, question bank, and quizzes) can be found at analystprep.com/shop/actuaria...
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)