CAIE S1 2019 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionNovember
TopicNormal Distribution
TypeMultiple probability calculations

4 The heights of students at the Mainland college are normally distributed with mean 148 cm and standard deviation 8 cm .
  1. The probability that a Mainland student chosen at random has a height less than \(h \mathrm {~cm}\) is 0.67 . Find the value of \(h\).
    120 Mainland students are chosen at random.
  2. Find the number of these students that would be expected to have a height within half a standard deviation of the mean.