CAIE S1 2024 November — Question 3

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

3 A fair coin and an ordinary fair six-sided dice are thrown at the same time.The random variable \(X\) is defined as follows.
-If the coin shows a tail,\(X\) is twice the score on the dice.
-If the coin shows a head,\(X\) is the score on the dice if the score is even and \(X\) is 0 otherwise.
  1. Draw up the probability distribution table for \(X\) .
  2. Find \(\operatorname { Var } ( X )\) .