OCR S2 2008 January — Question 1

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2008
SessionJanuary
TopicNormal Distribution
TypeStandard two probabilities given
1 The random variable \(T\) is normally distributed with mean \(\mu\) and standard deviation \(\sigma\). It is given that \(\mathrm { P } ( T > 80 ) = 0.05\) and \(\mathrm { P } ( T > 50 ) = 0.75\). Find the values of \(\mu\) and \(\sigma\).
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