CAIE S2 2004 June — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2004
SessionJune
TopicLinear combinations of normal random variables
TypePure expectation and variance calculation
3 The independent random variables \(X\) and \(Y\) are such that \(X\) has mean 8 and variance 4.8 and \(Y\) has a Poisson distribution with mean 6. Find
  1. \(\mathrm { E } ( 2 X - 3 Y )\),
  2. \(\operatorname { Var } ( 2 X - 3 Y )\).
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