Discrete Random Variable Example ​​​​(SOA Exam P – Probability – Univariate Random Variables Module)

Master a staple SOA Exam P question using a discrete random variable example. We model monthly injury claims and compute a key conditional probability (final answer: two fifths). You’ll see how to read a probability table, expand events into sums of simple probabilities, and apply the conditional-probability idea step by step. 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 apply the concepts of random variables, probability and probability density functions, cumulative distribution functions Example given in the video: The number of injury claims per month is modeled by a random variable 𝑁 with 𝑝_𝑛=1/((𝑛+1)(𝑛+2)) for nonnegative integers, 𝑛. Calculate the probability of at least one claim during a particular month, given that there have been at most four claims during that month. (A) 1∕3 (B) 2∕5 (C) 1∕2 (D) 3∕5 (E) 5∕6 #SOAExamP #ExamP #ActuarialScience #Probability #RandomVariables #ConditionalProbability #AnalystPrep