Discrete and continuous random variables, probability mass and density functions, expected value, variance, and common parametric distributions.
These are the key learning objectives for Univariate Random Variables on SOA Exam P. Paraphrased from the public SOA syllabus — we recommend also checking the current syllabus on soa.org before your exam sitting.
Distinguish between discrete and continuous random variables and work with their distributions
Compute expectation, variance, moments, and moment generating functions for a random variable
Work with common distributions: binomial, Poisson, geometric, negative binomial, uniform, exponential, gamma, normal, lognormal, Pareto
Apply transformations of random variables and determine the distribution of a function of a random variable
Upload your ACTEX Exam P digital edition, scanned ASM pages, TIA handouts, or your own notes. exclam.ai extracts the Univariate Random Variables sections and generates flashcards automatically.
Generate multiple-choice quizzes specifically on Univariate Random Variables. Weak questions get re-surfaced until you get them right consistently.
Because Univariate Random Variables is 40–47% of your exam, losing it during review costs you. FSRS brings it back at the optimal moment.
SOA Exam P has 3 topic areas. Univariate Random Variables is weighted at approximately 40–47% of the exam — here is where it sits relative to the other topics.
| Topic area | Weight |
|---|---|
| General Probability | 10–17% |
| → Univariate Random Variables | 40–47% |
| Multivariate Random Variables | 40–47% |
Foundational probability concepts: sample spaces, events, conditional probability, independence, and Bayes theorem.
Joint, marginal, and conditional distributions; covariance and correlation; sums and functions of random variables; and the central limit theorem.
Upload your ACTEX Exam P digital edition, scanned ASM pages, TIA handouts, or your own notes. exclam.ai generates a fully guided study plan with adaptive flashcards and quizzes for this topic.