OCR S2 2015 June — Question 1

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2015
SessionJune
TopicNormal Distribution
TypeStandard two probabilities given
1 The random variable \(Y\) is normally distributed with mean \(\mu\) and variance \(\sigma ^ { 2 }\). It is found that \(\mathrm { P } ( Y > 150.0 ) = 0.0228\) and \(\mathrm { P } ( Y > 143.0 ) = 0.9332\). Find the values of \(\mu\) and \(\sigma\).
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