CAIE S1 2013 November — Question 3

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

3 The amount of fibre in a packet of a certain brand of cereal is normally distributed with mean 160 grams. 19\% of packets of cereal contain more than 190 grams of fibre.
  1. Find the standard deviation of the amount of fibre in a packet.
  2. Kate buys 12 packets of cereal. Find the probability that at least 1 of the packets contains more than 190 grams of fibre.