Worksheets — Set 3

Probability · Random variables

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

Warm-up

1. P(A) = 0.5, P(B) = 0.6000000000000001. If independent, P(A∩B) = ___ 2. Binomial(n=9, p=0.5): P(X = 6) = ___ 3. E[X] for X with values {5, 7, 9} and equal probability ___

_See printable PDF for diagram._

Written practice

1. P(A) = 0.45, P(B) = 0.55. If independent, P(A∩B) = ___ 2. Binomial(n=8, p=0.5): P(X = 5) = ___ 3. E[X] for X with values {4, 6, 8} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.16 ___ 6. Identify the distribution and parameters in context. 7. P(A) = 0.6000000000000001, P(B) = 0.7000000000000001. If independent, P(A∩B) = ___ 8. Binomial(n=11, p=0.5): P(X = 8) = ___

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More written practice

1. E[X] for X with values {7, 9, 11} and equal probability ___ 2. Conditional: P(A|B) when P(A∩B) = 0.22 ___ 3. P(A) = 0.75, P(B) = 0.8500000000000001. If independent, P(A∩B) = ___ 4. Binomial(n=14, p=0.5): P(X = 11) = ___ 5. E[X] for X with values {10, 12, 14} and equal probability ___ 6. Conditional: P(A|B) when P(A∩B) = 0.28 ___

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Patterns and rules

1. P(A) = 1.3, P(B) = 1.4. If independent, P(A∩B) = ___ 2. Binomial(n=25, p=0.5): P(X = 22) = ___ 3. E[X] for X with values {21, 23, 25} and equal probability ___

_See printable PDF for diagram._

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Parent tip: Draw a probability table or tree