
\begin{itemize}
\item $\esp{X}=\dfrac{0+100+500}{3}=200$.
\item $\esp{Y}=100\times\dfrac{10}{100}+200\times\dfrac{10}{200}+500\times\dfrac{10}{500}+\numprint{1000}\times\dfrac{10}{\numprint{1000}}=40$.
\end{itemize}
\[
\esp{Z} = \esp{X} + \esp{Y} = 240.
\]
\underline{Ainsi, le gain moyen d'un·e candidat·e est 240 \euro.}
