CAIE S1 2011 November — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2011
SessionNovember
TopicCombinations & Selection

3 A team of 4 is to be randomly chosen from 3 boys and 5 girls. The random variable \(X\) is the number of girls in the team.
  1. Draw up a probability distribution table for \(X\).
  2. Given that \(\mathrm { E } ( X ) = \frac { 5 } { 2 }\), calculate \(\operatorname { Var } ( X )\).