CAIE S1 2004 June — Question 3

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2004
SessionJune
TopicDiscrete Probability Distributions
TypeConstruct probability distribution from scenario

3 Two fair dice are thrown. Let the random variable \(X\) be the smaller of the two scores if the scores are different, or the score on one of the dice if the scores are the same.
  1. Copy and complete the following table to show the probability distribution of \(X\).
    \(x\)123456
    \(\mathrm { P } ( X = x )\)
  2. Find \(\mathrm { E } ( X )\).