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Cambridge AS & A Level Mathematics

5.4Discrete random variables

Discrete random variables in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic56 practice questions3 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 5.4.1Draw up a probability distribution table for a discrete random variable and calculate E(X) and Var(X).
  2. 5.4.2Use the binomial and geometric probability formulae and recognise situations they model.
  3. 5.4.3Use the mean and variance of the binomial distribution and the expectation of the geometric distribution.

Lessons

  • Discrete random variables: expectation and variance

    45 min

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  • The binomial distribution

    50 min

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  • The geometric distribution

    40 min

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Sample question

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

Discrete random variables: sample question

1 mark

X∼B(8,0.4)X \sim \mathrm{B}(8, 0.4). Find P(X=3)\mathrm{P}(X = 3), correct to 3 significant figures.

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

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