CAIE S1 2016 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionJune
TopicNormal Distribution
TypeMixed calculations with boundaries

6 The time in minutes taken by Peter to walk to the shop and buy a newspaper is normally distributed with mean 9.5 and standard deviation 1.3.
  1. Find the probability that on a randomly chosen day Peter takes longer than 10.2 minutes.
  2. On \(90 \%\) of days he takes longer than \(t\) minutes. Find the value of \(t\).
  3. Calculate an estimate of the number of days in a year ( 365 days) on which Peter takes less than 8.8 minutes to walk to the shop and buy a newspaper.