Given is a Decision Tree Diagram. The Payoffs 1-14 are given in the table below. Answer questions a, b, and c. 1/3 1/3 1/3 Payo E 11 $ 1 10 Alternative A 6 9 Alternative B 2 -3 3 5 a) The value at node 4 is Blank 1 4 10 5 0.30 8 0.30, 10 0.50 8 0,20 0.50 0.20 6 5 b) The value at node 8 is Blank 2 (in 1 decimal place) e) The best course of action or decision is to select alternative Blank 3 7 5 4 5 6 8 -1 9 10 5 1/3 1/3 1/3 1/2 1/2 10 4 11 5 PayOff . PayOff 2 PayOff 3 PayOff 4 PayOff 5 PayOff 6 PayOff 7 PayOff 8 PayOff 9 PayOff 10 PayOff 11 PayOff 12 PayOff 13 PayOff 14 12 2 13 7 14 5