Edexcel S1 2004 January — Question 2

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2004
SessionJanuary
TopicNormal Distribution
TypeInterval probability P(a < X < b)

2. The random variable \(X\) is normally distributed with mean \(\mu\) and variance \(\sigma ^ { 2 }\).
  1. Write down 3 properties of the distribution of \(X\). Given that \(\mu = 27\) and \(\sigma = 10\)
  2. find \(\mathrm { P } ( 26 < X < 28 )\).