Edexcel S1 — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
TopicNormal Distribution
TypeMultiple probability calculations
3. The random variable \(X\) is normally distributed with a mean of 42 and a variance of 18 . Find
  1. \(\mathrm { P } ( X \leq 45 )\),
  2. \(\mathrm { P } ( 32 \leq X \leq 38 )\),
  3. the value of \(x\) such that \(\mathrm { P } ( X \leq x ) = 0.95\)
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