CAIE S1 2022 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2022
SessionNovember
TopicNormal Distribution
TypeIndependent probability calculations

2 The lengths of the rods produced by a company are normally distributed with mean 55.6 mm and standard deviation 1.2 mm .
  1. In a random sample of 400 of these rods, how many would you expect to have length less than 54.8 mm ?
  2. Find the probability that a randomly chosen rod produced by this company has a length that is within half a standard deviation of the mean.