CAIE S1 2020 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionNovember
TopicNormal Distribution
TypeMultiple probability calculations

1 The times taken to swim 100 metres by members of a large swimming club have a normal distribution with mean 62 seconds and standard deviation 5 seconds.
  1. Find the probability that a randomly chosen member of the club takes between 56 and 66 seconds to swim 100 metres.
  2. \(13 \%\) of the members of the club take more than \(t\) minutes to swim 100 metres. Find the value of \(t\).