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

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Payoff

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

$13$

$14$

$

$6$

$5$

$-4$

$8$

$6$

$4$

$-3$

$6$

$-4$

$8$

$-5$

$4$

$8$

$5$

a$)$ The value at node $4$ is Blank $1$

b$)$ The value at node $8$ is Blank $2($in $1$ decimal place$)$

c$)$ The best course of action or decision is to select alternative Blank $3$

Blank $1$