Edexcel S2 — Question 2

Exam BoardEdexcel
ModuleS2 (Statistics 2)
TopicContinuous Uniform Random Variables
TypeFind parameters from given statistics
2. The random variable \(X\), which can take any value in the interval \(1 \leq X \leq n\), is modelled by the continuous uniform distribution with mean 12.
  1. Show that \(n = 23\) and find the variance of \(X\).
  2. Find \(\mathrm { P } ( 10 < X < 14 )\).
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