MathematicsCode 9709

The Poisson distribution

What this topic asks you to be able to do

  • apply formulae to find the probabilities of outcomes under Po(λ)
  • apply the result that when X ~ Po(λ), both the mean and the variance of X equal λ
  • appreciate how random events are linked to the Poisson distribution, and employ that distribution as a model
  • use a Poisson distribution as an approximation for a binomial distribution in cases where this is appropriate
  • apply a normal distribution, together with a continuity correction, as an approximation for a Poisson distribution in suitable cases