Conditional and Marginal Probability Functions for Discrete Random Variables
Free SOA Exam P (Probability) lesson in Multivariate Random Variables. 18 min read, ~2,754 words.
Marginal PMF: sum the joint over the other variable (row totals give the marginal of X, column totals give the marginal of Y). Conditional PMF:, divide each cell by its row total. Joint = Conditional times Marginal:. Law of total probability:. Bayes reverses conditioning:. Independence: the conditional distribution equals the...
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What this lesson covers
- Content
- Example 1
- Example 2
- Example 3
- Common Mistakes
- Check Your Understanding
- Exam Shortcuts
Learning objectives
- 3b
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