CAIE S1 2024 June — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionJune
TopicDiscrete Probability Distributions
TypeSampling without replacement

5 Jasmine has one \(
) 5\( coin, two \)\\( 2\) coins and two \(
) 1\( coins. She selects two of these coins at random. The random variable \)X$ is the total value, in dollars, of these two coins.
  1. Show that \(\mathrm { P } ( X = 7 ) = 0.2\).
  2. Draw up the probability distribution table for \(X\).
  3. Find the value of \(\operatorname { Var } ( X )\).