Central Limit Theorem: Approximations for Linear Combinations of iid Random Variables
Free SOA Exam P (Probability) lesson in Multivariate Random Variables. 22 min read, ~3,334 words.
CLT: for large, regardless of the original distribution. Sample mean:; standardize with. Sum z-score:; always divide by the standard deviation, never the variance. Continuity correction: add or subtract 0.5 for discrete counts only (binomial, Poisson, integer sums), never a continuous mean; push the boundary 0.5 toward the region. Binomial approx...
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What this lesson covers
- Content
- Example 1
- Example 2
- Example 3
- Common Mistakes
- Check Your Understanding
- Exam Shortcuts
Learning objectives
- 3i
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