CAIE S1 2018 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicNormal Distribution
TypeExpected frequency with unknown parameter

3
  1. The volume of soup in Super Soup cartons has a normal distribution with mean \(\mu\) millilitres and standard deviation 9 millilitres. Tests have shown that \(10 \%\) of cartons contain less than 440 millilitres of soup. Find the value of \(\mu\).
  2. A food retailer orders 150 Super Soup cartons. Calculate the number of these cartons for which you would expect the volume of soup to be more than 1.8 standard deviations above the mean.