CAIE S2 2007 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2007
SessionJune
TopicLinear combinations of normal random variables
TypeSum or total of normal variables
2 The random variable \(X\) has the distribution \(\mathrm { N } \left( 3.2,1.2 ^ { 2 } \right)\). The sum of 60 independent observations of \(X\) is denoted by \(S\). Find \(\mathrm { P } ( S > 200 )\).
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