CAIE S2 2012 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2012
SessionJune
TopicLinear combinations of normal random variables
TypeTwo or more different variables
2 The independent random variables \(X\) and \(Y\) have the distributions \(\mathrm { N } ( 6.5,14 )\) and \(\mathrm { N } ( 7.4,15 )\) respectively. Find \(\mathrm { P } ( 3 X - Y < 20 )\).
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