OCR S1 2011 January — Question 2

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2011
SessionJanuary
TopicGeometric Distribution
TypeP(a ≤ X ≤ b) range probability

2 The random variable \(X\) has the distribution \(\operatorname { Geo } ( 0.2 )\). Find
  1. \(\mathrm { P } ( X = 3 )\),
  2. \(\mathrm { P } ( 3 \leqslant X \leqslant 5 )\),
  3. \(\mathrm { P } ( X > 4 )\). Two independent values of \(X\) are found.
  4. Find the probability that the total of these two values is 3 .