Random Variable Basics (SOA Exam P – Probability – Univariate Random Variables Module)
Kick off the Univariate Random Variables module with clear, intuitive explanations. In this lesson, you’ll learn:
Correct terminology (unknown vs. variable, independent vs. dependent)
What a random variable is and how to read its notation
Support of a distribution and why it matters
Discrete vs. continuous random variables with real examples:
Family members covered by insurance (discrete)
Category 5 hurricane wind speed (continuous)
Dollar loss in an auto claim (treated as continuous)
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After completing this video you should be able to:
Explain and apply the concepts of random variables, probability and probability density functions, cumulative distribution functions
Random Variable - a variable that represents the outcomes of an event
𝑁−denotes the random variable
𝑛−denotes a specific value (a realization) of the random variable, 𝑁
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