CAIE S1 2011 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2011
SessionNovember
TopicNormal Distribution
TypeFind p then binomial probability

5 The weights of letters posted by a certain business are normally distributed with mean 20 g . It is found that the weights of \(94 \%\) of the letters are within 12 g of the mean.
  1. Find the standard deviation of the weights of the letters.
  2. Find the probability that a randomly chosen letter weighs more than 13 g .
  3. Find the probability that at least 2 of a random sample of 7 letters have weights which are more than 12 g above the mean.