Edexcel S1 2014 June — Question 4

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2014
SessionJune
TopicNormal Distribution
TypeConditional probability with normal
4. The random variable \(Y \sim \mathrm {~N} \left( \mu , \sigma ^ { 2 } \right)\) Given that \(\mathrm { P } ( Y < 17 ) = 0.6\) find
  1. \(\mathrm { P } ( Y > 17 )\)
  2. \(\mathrm { P } ( \mu < Y < 17 )\)
  3. \(\mathrm { P } ( Y < \mu \mid Y < 17 )\)
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