Edexcel S1 2009 January — Question 6

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2009
SessionJanuary
TopicNormal Distribution
TypeMultiple probability calculations

6. The random variable \(X\) has a normal distribution with mean 30 and standard deviation 5 .
  1. Find \(\mathrm { P } ( X < 39 )\).
  2. Find the value of \(d\) such that \(\mathrm { P } ( X < d ) = 0.1151\)
  3. Find the value of \(e\) such that \(\mathrm { P } ( X > e ) = 0.1151\)
  4. Find \(\mathrm { P } ( d < X < e )\).