To find the expected value we will multiply the probability by payout, then add all products
[tex]\begin{gathered} 0\times0.45=0 \\ 2\times0.3=0.6 \\ 4\times0.1=0.4 \\ 8\times0.1=0.8 \\ 10\times0.05=0.5 \end{gathered}[/tex]
Now we will add all products
[tex]\begin{gathered} E(p)=0+0.6+0.4+0.8+0.5 \\ E(p)=2.30 \end{gathered}[/tex]
The answer is 2.30
