CAIE S2 2015 June — Question 7

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2015
SessionJune
TopicLinear combinations of normal random variables
TypePure expectation and variance calculation
7 The independent variables \(X\) and \(Y\) are such that \(X \sim \mathrm {~B} ( 10,0.8 )\) and \(Y \sim \mathrm { Po } ( 3 )\). Find
  1. \(\mathrm { E } ( 7 X + 5 Y - 2 )\),
  2. \(\operatorname { Var } ( 4 X - 3 Y + 3 )\),
  3. \(\mathrm { P } ( 2 X - Y = 18 )\).
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Q1 5 Q2 Q3 Q4 Q5 Q6 Q7