CAIE S1 2015 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionNovember
TopicNormal Distribution
TypeExpected frequency with unknown parameter

4 The time taken for cucumber seeds to germinate under certain conditions has a normal distribution with mean 125 hours and standard deviation \(\sigma\) hours.
  1. It is found that \(13 \%\) of seeds take longer than 136 hours to germinate. Find the value of \(\sigma\).
  2. 170 seeds are sown. Find the expected number of seeds which take between 131 and 141 hours to germinate.