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CAIE A-Level Mathematics 6.1.3 Poisson distribution

Practise deciding when Poisson is a suitable model for random events and using it to answer context-based probability questions.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • apply a constant average rate to model arrivals or events over a stated time
  • form inequalities with e^-λ to find a waiting time for a required probability

6.1.3—Poisson distribution question 1

[Maximum number: 1]

The number, X, of books received at a charity shop has a constant mean of 5.1 per day.

State, in context, one condition for X to be modelled by a Poisson distribution.

Assume now that X can be modelled by a Poisson distribution.

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