The Beta Distribution
Free SOA Exam P (Probability) lesson in Univariate Random Variables. 9 min read, ~1,340 words.
Beta( ) on: density proportional to. Mean:. Variance:. Read off the density: the power on is; the power on is. The exam gives the density; the skill is integrating it for a mean, a moment, or a probability. Special cases: Beta(1,1) is Uniform(0,1); order statistics of uniforms are beta.
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What this lesson covers
- Content
- Example 1
- Example 2
- Common Mistakes
- Key Takeaways
- Exam Shortcuts
Learning objectives
- 2a
- 2b
- 2c
- 2d
- 2e
- 2f
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