CAIE S2 2022 June — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2022
SessionJune
TopicApproximating the Binomial to the Poisson distribution
TypeState Poisson approximation with justification

3 It is known that \(1.8 \%\) of children in a certain country have not been vaccinated against measles. A random sample of 200 children in this country is chosen.
  1. Use a suitable approximating distribution to find the probability that there are fewer than 3 children in the sample who have not been vaccinated against measles.
  2. Justify your approximating distribution.