CAIE S1 2022 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2022
SessionNovember
TopicApproximating Binomial to Normal Distribution
TypeCombined binomial and normal events

2 The residents of Persham were surveyed about the reliability of their internet service. 12\% rated the service as 'poor', \(36 \%\) rated it as 'satisfactory' and \(52 \%\) rated it as 'good'. A random sample of 8 residents of Persham is chosen.
  1. Find the probability that more than 2 and fewer than 8 of them rate their internet service as poor or satisfactory.
    A random sample of 125 residents of Persham is now chosen.
  2. Use an approximation to find the probability that more than 72 of these residents rate their internet service as good.