In Problem 11, the Tech coaches have reviewed game films and have determined the following probabilities that

Question:

In Problem 11, the Tech coaches have reviewed game films and have determined the following probabilities that State will use each of its defenses:
Defense ...... Probability
54 .......... .40
63 .......... .10
Wide tackle ...... .20
Nickel ....... .20
Blitz ........ .10
a. Using expected value, rank Tech’s plays from best to worst.
b. During the actual game, a situation arises in which Tech has a third down and 10 yards to go, and the coaches are 60% certain State will blitz, with a 10% chance of any of the other four defenses. What play should Tech run? Is it likely the team will make the first down?