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Cambridge AS & A Level Mathematics

6.1The Poisson distribution

The Poisson distribution in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic40 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.1.1Calculate probabilities for Po(λ) and use mean = variance = λ.
  2. 6.1.2Understand the relevance of the Poisson distribution to random events and use it as a model.
  3. 6.1.3Use the Poisson approximation to the binomial where appropriate.
  4. 6.1.4Use the normal approximation, with continuity correction, to the Poisson where appropriate.

Lessons

  • Poisson and normal approximations

    40 min

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  • The Poisson distribution

    45 min

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Sample question

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

The Poisson distribution: sample question

1 mark

The random variable XX has the distribution B(150,0.02)\mathrm{B}(150, 0.02). Use a Poisson approximation to find P(X=1)\mathrm{P}(X = 1), correct to 3 significant figures.

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

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