CAIE S1 2024 June — Question 1

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

1 The numbers on the faces of a fair six-sided dice are \(1,2,2,3,3,3\). The random variable \(X\) is the total score when the dice is rolled twice.
  1. Draw up the probability distribution table for \(X\).
  2. Find the value of \(\operatorname { Var } ( X )\).
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  3. Find the probability that \(X\) is even given that \(X > 3\).