CAIE S1 Specimen — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
SessionSpecimen
TopicNormal Distribution
TypeStandard two probabilities given

2 The random variable \(X\) has the distribution \(\mathrm { N } \left( \mu , \sigma ^ { 2 } \right)\). It is given that \(\mathrm { P } ( X < 54.1 ) = 0.5\) and \(\mathrm { P } ( X > 50.9 ) = 0.8665\). Find the values of \(\mu\) and \(\sigma\).