CAIE FP2 2010 November — Question 7

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2010
SessionNovember
TopicGeometric Distribution
TypeFind minimum n for P(X ≤ n) > threshold

7 The discrete random variable \(X\) has a geometric distribution with mean 4.
Find
  1. \(\mathrm { P } ( X = 5 )\),
  2. \(\mathrm { P } ( X \geqslant 5 )\),
  3. the least integer \(N\) such that \(\mathrm { P } ( X \leqslant N ) > 0.9995\).