CAIE S1 2013 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
SessionJune
TopicApproximating Binomial to Normal Distribution
TypeFind minimum/maximum n for probability condition

4 In a certain country, on average one student in five has blue eyes.
  1. For a random selection of \(n\) students, the probability that none of the students has blue eyes is less than 0.001 . Find the least possible value of \(n\).
  2. For a random selection of 120 students, find the probability that fewer than 33 have blue eyes.