CAIE S1 2022 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2022
SessionNovember
TopicNormal Distribution
TypeIndependent events across days/trials

4 In a large population, the systolic blood pressure (SBP) of adults is normally distributed with mean 125.4 and standard deviation 18.6.
  1. Find the probability that the SBP of a randomly chosen adult is less than 132.
    The SBP of 12-year-old children in the same population is normally distributed with mean 117. Of these children 88\% have SBP more than 108.
  2. Find the standard deviation of this distribution.
    Three adults are chosen at random from this population.
  3. Find the probability that each of these three adults has SBP within 1.5 standard deviations of the mean.