CAIE S2 2016 June — Question 5

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2016
SessionJune
TopicLinear combinations of normal random variables
TypeSame variable, two observations

5 The thickness of books in a large library is normally distributed with mean 2.4 cm and standard deviation 0.3 cm .
  1. Find the probability that the total thickness of 6 randomly chosen books is more than 16 cm .
  2. Find the probability that the thickness of a book chosen at random is less than 1.1 times the thickness of a second book chosen at random.