CAIE S1 2021 June — Question 4

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

4 A fair spinner has sides numbered 1, 2, 2. Another fair spinner has sides numbered \(- 2,0,1\). Each spinner is spun. The number on the side 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 \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).