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

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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)

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