[tex]\begin{gathered} \text{Expected payoff}=\Sigma X\cdot P(X) \\ \\ \text{Expected payoff}=0\cdot0.8+5\cdot0.2 \\ \text{Expected payoff}=0+1 \\ \text{Expected payoff}=1 \end{gathered}[/tex]
Then, the expected payoff (expected value) from the given probability distribution is $1
