Edexcel S2 2003 June — Question 3

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2003
SessionJune
TopicBinomial Distribution
TypeProbability distribution table

3. In a town, \(30 \%\) of residents listen to the local radio station. Four residents are chosen at random.
  1. State the distribution of the random variable \(X\), the number of these four residents that listen to local radio.
  2. On graph paper, draw the probability distribution of \(X\).
  3. Write down the most likely number of these four residents that listen to the local radio station.
  4. Find \(\mathrm { E } ( X )\) and \(\operatorname { Var } ( X )\).