OCR H240/02 — Question 14 92 marks

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Marks92
TopicDiscrete Probability Distributions
TypeConditional probability with random variables

14 A random variable \(X\) has probability distribution given by \(\mathrm { P } ( X = x ) = \frac { 1 } { 860 } ( 1 + x )\) for \(x = 1,2,3 , \ldots , 40\).
  1. Find \(\mathrm { P } ( X > 39 )\).
  2. Given that \(x\) is even, determine \(\mathrm { P } ( X < 10 )\). \section*{END OF QUESTION PAPER}