CAIE S1 2017 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2017
SessionNovember
TopicDiscrete Probability Distributions
TypeConstruct probability distribution from scenario

4 A fair die with faces numbered \(1,2,2,2,3,6\) is thrown. The score, \(X\), is found by squaring the number on the face the die shows and then subtracting 4.
  1. Draw up a table to show the probability distribution of \(X\).
  2. Find \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).