CAIE S1 2013 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
SessionNovember
TopicApproximating Binomial to Normal Distribution
TypeMultinomial probability calculation

5 On trains in the morning rush hour, each person is either a student with probability 0.36 , or an office worker with probability 0.22 , or a shop assistant with probability 0.29 or none of these.
  1. 8 people on a morning rush hour train are chosen at random. Find the probability that between 4 and 6 inclusive are office workers.
  2. 300 people on a morning rush hour train are chosen at random. Find the probability that between 31 and 49 inclusive are neither students nor office workers nor shop assistants.