Review — Difficulty 10/10
Probability · Common distributions and limit theorems
Review skills for this standard. Write answers where shown.
Together with a parent
1. P(A) = 0.95, P(B) = 1.05. If independent, P(A∩B) = ___ 2. Binomial(n=18, p=0.5): P(X = 15) = ___ 3. E[X] for X with values {14, 16, 18} and equal probability ___
Written review
1. P(A) = 1.05, P(B) = 1.15. If independent, P(A∩B) = ___ 2. Binomial(n=20, p=0.5): P(X = 17) = ___ 3. E[X] for X with values {16, 18, 20} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.4 ___ 6. Identify the distribution and parameters in context.
_See printable PDF for diagram._
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Skills checklist
- [ ] Computes probabilities from models
- [ ] Finds expectation and variance
- [ ] Chooses appropriate distributions
- [ ] Explains Common distributions and limit theorems without prompts
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