A Level Further Statistics 1, Chapter 1 · exam-style questions with mark schemes · the expected value $\mathrm{E}(X)$ and variance $\mathrm{Var}(X)$ of a discrete random variable, $\mathrm{E}(X^2)$, $\mathrm{E}(\mathrm{g}(X))$, $\mathrm{E}(aX + b)$ and $\mathrm{Var}(aX + b)$, and problems with unknown probabilities, games and scores