Given is a Decision Tree Diagram. The Payoffs $1-14$ are given in the table below. Answer questions a$,$ b$,$ and c$.$

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|\}$

$\backslash$hline Payoff & $1$ & $2$ & $3$ & $4$ & $5$ & $6$ & $7$ & $8$ & $9$ & $10$ & $11$ & $12$ & $13$ & $14\backslash \backslash$

$\backslash$hline S & $8$ & $-2$ & $5$ & $3$ & $6$ & $4$ & $8$ & $6$ & $-4$ & $6$ & $5$ & $5$ & $-2$ & $2\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

a$)$ The value at node $4$ is type your answer...

b$)$ The value at node $8$ is

$($in $1$ decimal place$)$

c$)$ The best course of action or decision is to select alternative Given is a Decision Tree Diagram. The Payoffs $1-14$ are given in the table below. Answer questions a$,$ b$,$ and c$.$

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|\}$

$\backslash$hline Payoff & $1$ & $2$ & $3$ & $4$ & $5$ & $6$ & $7$ & $8$ & $9$ & $10$ & $11$ & $12$ & $13$ & $14\backslash \backslash$

$\backslash$hline S & $8$ & $-2$ & $5$ & $3$ & $6$ & $4$ & $8$ & $6$ & $-4$ & $6$ & $5$ & $5$ & $-2$ & $2\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

a$)$ The value at node $4$ is type your answer...

b$)$ The value at node $8$ is

$($in $1$ decimal place$)$

c$)$ The best course of action or decision is to select alternative