Worksheets — Set 6

Probability · Random variables

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

Warm-up

1. P(A) = 0.65, P(B) = 0.75. If independent, P(A∩B) = ___ 2. Binomial(n=12, p=0.5): P(X = 9) = ___ 3. E[X] for X with values {8, 10, 12} and equal probability ___

_See printable PDF for diagram._

Written practice

1. P(A) = 0.6000000000000001, P(B) = 0.7000000000000001. If independent, P(A∩B) = ___ 2. Binomial(n=11, p=0.5): P(X = 8) = ___ 3. E[X] for X with values {7, 9, 11} and equal probability ___ 4. Variance of a fair die roll: ___ 5. Conditional: P(A|B) when P(A∩B) = 0.22 ___ 6. Identify the distribution and parameters in context. 7. P(A) = 0.75, P(B) = 0.8500000000000001. If independent, P(A∩B) = ___ 8. Binomial(n=14, p=0.5): P(X = 11) = ___

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More written practice

1. E[X] for X with values {10, 12, 14} and equal probability ___ 2. Conditional: P(A|B) when P(A∩B) = 0.28 ___ 3. P(A) = 0.9000000000000001, P(B) = 1. If independent, P(A∩B) = ___ 4. Binomial(n=17, p=0.5): P(X = 14) = ___ 5. E[X] for X with values {13, 15, 17} and equal probability ___ 6. Conditional: P(A|B) when P(A∩B) = 0.33999999999999997 ___

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Patterns and rules

1. P(A) = 1.4500000000000002, P(B) = 1.5500000000000003. If independent, P(A∩B) = ___ 2. Binomial(n=28, p=0.5): P(X = 25) = ___ 3. E[X] for X with values {24, 26, 28} and equal probability ___

_See printable PDF for diagram._

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Parent tip: Draw a probability table or tree