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Cambridge AS & A Level Mathematics

6.2Linear combinations of random variables

Linear combinations of random variables in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
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Learning objectives

What the syllabus expects you to be able to do.

  1. 6.2.1Use the expectation and variance results for linear combinations, and the distributions of linear combinations of independent normal and of sums of independent Poisson variables.

Lessons

  • Linear combinations of random variables

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Linear combinations of random variables: sample question

1 mark

E(X)=8\mathrm{E}(X) = 8 and Var(X)=3\mathrm{Var}(X) = 3. Find Var(5−2X)\mathrm{Var}(5 - 2X).

Only if the answer has a unit, e.g. cm or km/h.

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