CAIE S1 2018 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionNovember
TopicDiscrete Probability Distributions
TypeSum or difference of two spinners/dice

2 A fair 6 -sided die has the numbers \(- 1 , - 1,0,0,1,2\) on its faces. A fair 3 -sided spinner has edges numbered \(- 1,0,1\). The die is thrown and the spinner is spun. The number on the uppermost face of the die and the number on the edge on which the spinner comes to rest are noted. The sum of these two numbers is denoted by \(X\).
  1. Draw up a table showing the probability distribution of \(X\).
  2. Find \(\operatorname { Var } ( X )\).