Edexcel S1 2001 January — Question 3

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2001
SessionJanuary
TopicUniform Distribution
TypeExpectation of linear transformation

3. A fair six-sided die is rolled. The random variable \(Y\) represents the score on the uppermost, face.
  1. Write down the probability function of \(Y\).
  2. State the name of the distribution of \(Y\). Find the value of
  3. \(\mathrm { E } ( 6 Y + 2 )\),
  4. \(\operatorname { Var } ( 4 Y - 2 )\).