CAIE S1 2024 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionNovember
TopicDiscrete Probability Distributions
TypeConstruct probability distribution from scenario

2 A red fair six-sided dice has faces labelled 1, 1, 1, 2, 2, 2. A blue fair six-sided dice has faces labelled \(1,1,2,2,3,3\). Both dice are thrown. The random variable \(X\) is the product of the scores on the two dice.
  1. Draw up the probability distribution table for \(X\).
  2. Find \(\mathrm { E } ( X )\).