Expectation of linear transformation

A question is this type if and only if it asks to find E(aX + b) where X follows a discrete uniform distribution and a, b are constants.

1 questions

Edexcel S1 2001 January Q3
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. \(\operatorname { Var } ( 4 Y - 2 )\).