CAIE S1 2013 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
SessionJune
TopicNormal Distribution
TypeSymmetric probability given

3 Cans of lemon juice are supposed to contain 440 ml of juice. It is found that the actual volume of juice in a can is normally distributed with mean 445 ml and standard deviation 3.6 ml .
  1. Find the probability that a randomly chosen can contains less than 440 ml of juice. It is found that \(94 \%\) of the cans contain between \(( 445 - c ) \mathrm { ml }\) and \(( 445 + c ) \mathrm { ml }\) of juice.
  2. Find the value of \(c\).