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Topic 601Mathematics (Cambridge)

The Poisson distribution

The Poisson distribution — Cambridge International AS & A Level Mathematics (9709), Probability & Statistics 2 (6.1).

Practice questions
1

The Poisson DistributionSign up

understand the conditions under which a random variable can be modelled by Po(λ): events occurring independently at a constant average rate λ in a fixed interval · be able to calculate Poisson probabilities, use E(X) = Var(X) = λ, and use the Poisson distribution as an approximation to the binomial when n is large and p is small

40 min
2

Normal Approximation to the Poisson DistributionSign up

use the normal distribution, with continuity correction, as an approximation to the Poisson distribution where appropriate (m large; m >= 15 approximately)

45 min

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