Probability Practice

Instructions

1. Name conditioning events and random variables explicitly.
2. Check independence before factorizing.

Ordered items

1. Counting, total probability, and independenceProbability · 7 min
2. Bayes rule and diagnostic evidenceProbability · 12 min
3. Events, unions, and conditional probabilityProbability · 6 min
4. Joint tables, Bayes rule, and independenceProbability · 14 min
5. Recognize distribution momentsProbability · 8 min
6. Lognormal transformation by the CDF methodProbability · 12 min
7. Diagnostic testing with base ratesProbability · 8 min
8. Conditional expectation and total varianceProbability · 8 min
9. Linear transform of a multivariate GaussianProbability · 8 min
10. Joint density, moments, covariance, and correlationProbability · 24 min
11. Central limit theorem for an aggregateProbability · 10 min
12. LLN versus CLTProbability · 5 min

Completion

Move fluently among event, distribution, expectation, and covariance representations.