Worksheets — Set 8

Probability · Common distributions and limit theorems

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. P(A) = 0.75, P(B) = 0.8500000000000001. If independent, P(A∩B) = ___ 2. Binomial(n=14, p=0.5): P(X = 11) = ___ 3. E[X] for X with values {10, 12, 14} and equal probability ___

_See printable PDF for diagram._

Written practice

1. P(A) = 0.7, P(B) = 0.8. If independent, P(A∩B) = ___ 2. Binomial(n=13, p=0.5): P(X = 10) = ___ 3. E[X] for X with values {9, 11, 13} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.26 ___ 6. Identify the distribution and parameters in context. 7. P(A) = 0.8500000000000001, P(B) = 0.9500000000000001. If independent, P(A∩B) = ___ 8. Binomial(n=16, p=0.5): P(X = 13) = ___

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More written practice

1. E[X] for X with values {12, 14, 16} and equal probability ___ 2. Conditional: P(A|B) when P(A∩B) = 0.32 ___ 3. P(A) = 1, P(B) = 1.1. If independent, P(A∩B) = ___ 4. Binomial(n=19, p=0.5): P(X = 16) = ___ 5. E[X] for X with values {15, 17, 19} and equal probability ___ 6. Conditional: P(A|B) when P(A∩B) = 0.38 ___

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Patterns and rules

1. P(A) = 1.55, P(B) = 1.65. If independent, P(A∩B) = ___ 2. Binomial(n=30, p=0.5): P(X = 27) = ___ 3. E[X] for X with values {26, 28, 30} and equal probability ___

_See printable PDF for diagram._

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Parent tip: Draw a probability table or tree