Chapter 5: Statistical Distributions

A-level MathematicsStatistics and Mechanics7 topicsHigher

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Probability Long-Answer Questions

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4 questions24 marks36 min

standard / hard / synoptic

6 marksfindstandardEdexcel

SM05-1:

P(A) = 0

.6,

P(B|A) = 0

.3,

P(B|A') = 0

.5. Find

P(B) = 0

.38 for branch probability and tree diagrams. Show the method clearly by using use total probability across the two branches.

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6 marksshow thatstandardEdexcel

SM05-2 verification: show that the printed answer is valid by applying use total probability across the two branches. Include a check using

P(A) = 0

.6,

P(B|A) = 0

.3,

P(B|A') = 0

.5.

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6 marksprovehardEdexcel

SM05-3 proof: starting with

P(A) = 0

.6,

P(B|A) = 0

.3,

P(B|A') = 0

.5, prove

P(B) = 0

.38 for branch probability and tree diagrams; give restrictions.

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6 markshencesynopticEdexcel

Using SM05-4's earlier result

P(B) = 0

.38, hence solve the linked problem in branch probability and tree diagrams and state whether the answer is exact or rounded.

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4. Probability

6. Hypothesis Testing

Key learning objectives

Understand the key principles behind Statistical Distributions.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.