CAIE S1 2021 November — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionNovember
TopicDiscrete Probability Distributions
TypeConstruct probability distribution from scenario

4 A fair spinner has edges numbered \(0,1,2,2\). Another fair spinner has edges numbered \(- 1,0,1\). Each spinner is spun. The number on the edge on which a spinner comes to rest is noted. The random variable \(X\) is the sum of the numbers for the two spinners.
  1. Draw up the probability distribution table for \(X\).
  2. Find \(\operatorname { Var } ( X )\).