Commonly Tested Discrete Distributions (SOA Exam P – Probability – Univariate Random Variables)
Master commonly tested discrete distributions for SOA Exam P (Probability) with AnalystPrep. In this lesson, Prof. Stephen Paris explains name, description, PMF rule
𝑃(𝑋=𝑘), expected value (μ), and variance (σ²) for the distributions most likely to appear on the exam. Ideal for last-minute review or building foundations for practice problems.
You’ll learn:
Discrete Uniform (0…n−1)
Bernoulli & Binomial
Negative Binomial & Geometric
Hypergeometric
Multinomial
Poisson
Skills practiced: setting up PMFs, computing E[X] & Var(X), using transformations, and spotting which model fits a word problem.
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After completing this video you should be able to:
Explain and calculate expected value and higher moments, mode, median, and percentile.
Name, Description, Rule for computing 𝑝_𝑘=Pr(𝑁=𝑘), Expected Value, Variance
1. Poisson Distribution
2. Binomial Distribution (Special Case: Bernoulli Distribution)
3. Negative Binomial Distribution (Special Case: Geometric Distribution)
4. Discrete Uniform Distribution
5. Hypergeometric Distribution
6. Multinomial Distribution
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