CAIE S1 2013 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
SessionNovember
TopicNormal Distribution
TypeIndependent events across days/trials

5 Lengths of a certain type of carrot have a normal distribution with mean 14.2 cm and standard deviation 3.6 cm .
  1. \(8 \%\) of carrots are shorter than \(c \mathrm {~cm}\). Find the value of \(c\).
  2. Rebekah picks 7 carrots at random. Find the probability that at least 2 of them have lengths between 15 and 16 cm .