Edexcel S1 — Question 4

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

4. The random variable \(A\) is normally distributed with a mean of 32.5 and a variance of 18.6 Find
  1. \(\mathrm { P } ( A < 38.2 )\),
  2. \(\mathrm { P } ( 31 \leq A \leq 35 )\), The random variable \(B\) is normally distributed with a standard deviation of 7.2
    Given also that \(\mathrm { P } ( B > 110 ) = 0.138\),
  3. find the mean of \(B\).