CAIE S2 2021 June — Question 5

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2021
SessionJune
TopicPoisson Distribution
TypeFinding maximum n for P(X=0) threshold

5 On average, 1 in 75000 adults has a certain genetic disorder.
  1. Use a suitable approximating distribution to find the probability that, in a random sample of 10000 people, at least 1 has the genetic disorder.
  2. In a random sample of \(n\) people, where \(n\) is large, the probability that no-one has the genetic disorder is more than 0.9 . Find the largest possible value of \(n\).