CAIE S1 2011 June — Question 6

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2011
SessionJune
TopicNormal Distribution
TypeDirect binomial from normal probability

6 The lengths, in centimetres, of drinking straws produced in a factory have a normal distribution with mean \(\mu\) and variance 0.64 . It is given that \(10 \%\) of the straws are shorter than 20 cm .
  1. Find the value of \(\mu\).
  2. Find the probability that, of 4 straws chosen at random, fewer than 2 will have a length between 21.5 cm and 22.5 cm .