OCR S2 2009 June — Question 1

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2009
SessionJune
TopicNormal Distribution
TypeStandard two probabilities given

1 The random variable \(H\) has the distribution \(\mathrm { N } \left( \mu , \sigma ^ { 2 } \right)\). It is given that \(\mathrm { P } ( H < 105.0 ) = 0.2420\) and \(\mathrm { P } ( H > 110.0 ) = 0.6915\). Find the values of \(\mu\) and \(\sigma\), giving your answers to a suitable degree of accuracy.