CAIE S2 2022 March — Question 5

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2022
SessionMarch
TopicLinear combinations of normal random variables
TypeSame variable, two observations

5 The heights of buildings in a large city are normally distributed with mean 18.3 m and standard deviation 2.5 m .
  1. Find the probability that the total height of 5 randomly chosen buildings in the city is more than 95 m .
  2. Find the probability that the difference between the heights of two randomly chosen buildings in the city is less than 1 m .