CAIE S2 2019 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionJune
TopicLinear combinations of normal random variables
TypeExpectation and variance with context application

1 At an internet café, the charge for using a computer is 5 cents per minute. The number of minutes for which people use a computer has mean 23 and standard deviation 8.
  1. Find, in cents, the mean and standard deviation of the amount people pay when using a computer.
  2. Each day, 15 people use computers independently. Find, in cents, the mean and standard deviation of the total amount paid by 15 people.