CAIE S2 2019 November — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionNovember
TopicDiscrete Random Variables
TypeLinear combinations of independent variables

1 The random variable \(X\) has mean 2.4 and variance 3.1.
  1. The random variable \(Y\) is the sum of four independent values of \(X\). Find the mean and variance of \(Y\).
  2. The random variable \(Z\) is defined by \(Z = 4 X - 3\). Find the mean and variance of \(Z\).