CAIE S2 2023 June — Question 1 4 marks

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2023
SessionJune
Marks4
TopicApproximating the Binomial to the Poisson distribution
TypeState Poisson approximation with justification

1 In a certain country, 20540 adults out of a population of 6012300 have a degree in medicine.
[0pt]
  1. Use an approximating distribution to calculate the probability that, in a random sample of 1000 adults in this country, there will be fewer than 4 adults who have a degree in medicine. [4]
  2. Justify the approximating distribution used in part (a).