CAIE S1 2009 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2009
SessionJune
TopicNormal Distribution
TypePercentages or proportions given

1 The volume of milk in millilitres in cartons is normally distributed with mean \(\mu\) and standard deviation 8. Measurements were taken of the volume in 900 of these cartons and it was found that 225 of them contained more than 1002 millilitres.
  1. Calculate the value of \(\mu\).
  2. Three of these 900 cartons are chosen at random. Calculate the probability that exactly 2 of them contain more than 1002 millilitres.