CAIE S1 2019 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionJune
TopicNormal Distribution
TypeMixed calculations with boundaries

1 The time taken, in minutes, by a ferry to cross a lake has a normal distribution with mean 85 and standard deviation 6.8.
  1. Find the probability that, on a randomly chosen occasion, the time taken by the ferry to cross the lake is between 79 and 91 minutes.
  2. Over a long period it is found that \(96 \%\) of ferry crossings take longer than a certain time \(t\) minutes. Find the value of \(t\).