In American Football, touchdowns are worth 6 points. After scoring a touchdown, the scoring team may subsequently attempt to score 1 or 2 additional points. Going for 1 point is virtually an assured success, while going for 2 points is successful only with probability "p". Consider the following game situation. The Temple Wildcats are losing by 14 pts to the Killen Tigers near the end of regulation time. The only way for Temple to win (or tie) this games is to score two touchdowns while not allowing Killen to score again. The temple coach must decide whether to attempt a 1 point or 2 point conversion after each touchdown. if the score is tied at the edn of regulation time, the game goes into overtime. The Temple coach believes that there is a 50% chance that Temple will win the game if they go into overtime. The probabliltiy of successfully converting a 1-pt. conversion is 1.0 the probabiliyt of successfully converting a 1 pt conversion is "p"

A. Assume Temple will score two touchdowns and Killen will not score. Create a decision tree for the decision of whether Temple's Coach should go for a 1 pt conversion or a 2 pt. conversion after each touchdwon. Ther terminal nodes in the decision tree should be either win or lose for Temple.

B. Assume that a win results in a value of 1.0 and lose results in a value of 0. Further, assume that the probability of converting a 2 pt. conversion is p=0.4. Should Temple's coach go for a 1-pt conversion or 2-pt. conversion after scoring the first touchdown?