CAIE S2 2024 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2024
SessionJune
TopicLinear combinations of normal random variables
TypeDirect comparison of two variables

2 The random variable \(X\) has the distribution \(\mathrm { N } \left( 31.2,10.4 ^ { 2 } \right)\). Two independent random values of \(X\), denoted by \(X _ { 1 }\) and \(X _ { 2 }\), are chosen. Find \(\mathrm { P } \left( X _ { 1 } > 3 X _ { 2 } \right)\).