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6. The Tech football coaching staff has six basic offensive plays it runs every game. Tech has an upcoming game against State on Saturday, and the Tech coaches know that State employs five different defenses. The coaches have estimated the number of yards Tech will gain with each play against each defense, as shown in the following payoff table: Defense Play 54 63 Wide Tackle Nickel Blitz Off tackle 3 -2 7 -1 Option Toss sweep -1 8. 9. 12 6 16 -5 14 Draw -2 4 3 10 -3 Pass 8 20 12 -7 -8 Screen -5 -2 3 16 a. If the coaches employ an offensive game plan, they will use the maximax criterion. What will be their best play? b. If the coaches employ a defensive plan, they will use the maximin criterion. What will be their best play? c. What will be their best offensive play if State is equally likely to use any of its five defenses?

6. The Tech football coaching staff has six basic offensive plays it runs every game. Tech has an upcoming game against State on Saturday, and the Tech coaches know that State employs five different defenses. The coaches have estimated the number of yards Tech will gain with each play against each defense, as shown in the following payoff table: Defense Play 54 63 Wide Tackle Nickel Blitz Off tackle 3 -2 7 -1 Option Toss sweep -1 8. 9. 12 6 16 -5 14 Draw -2 4 3 10 -3 Pass 8 20 12 -7 -8 Screen -5 -2 3 16 a. If the coaches employ an offensive game plan, they will use the maximax criterion. What will be their best play? b. If the coaches employ a defensive plan, they will use the maximin criterion. What will be their best play? c. What will be their best offensive play if State is equally likely to use any of its five defenses?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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6. The Tech football coaching staff has six basic offensive plays it runs every game. Tech has an upcoming game against State on Saturday, and the Tech coaches know that State employs five different defenses. The coaches have estimated the number of yards Tech will gain with each play against each defense, as shown in the following payoff table: Defense Play 54 63 Wide Tackle Nickel Blitz Off tackle -2 9 7 -1 Option Toss sweep -1 -2 12 6. 16 -5 3 14 Draw -2 4 3 10 --3 Pass 8. 20 12 -7 -8 Screen -5 -2 3 16 a. If the coaches employ an offensive game plan, they will use the maximax criterion. What will be their best play? b. If the coaches employ a defensive plan, they will use the maximin criterion. What will be their best play? c. What will be their best offensive play if State is equally likely to use any of its five defenses?
Transcribed Image Text:6. The Tech football coaching staff has six basic offensive plays it runs every game. Tech has an upcoming game against State on Saturday, and the Tech coaches know that State employs five different defenses. The coaches have estimated the number of yards Tech will gain with each play against each defense, as shown in the following payoff table: Defense Play 54 63 Wide Tackle Nickel Blitz Off tackle -2 9 7 -1 Option Toss sweep -1 -2 12 6. 16 -5 3 14 Draw -2 4 3 10 --3 Pass 8. 20 12 -7 -8 Screen -5 -2 3 16 a. If the coaches employ an offensive game plan, they will use the maximax criterion. What will be their best play? b. If the coaches employ a defensive plan, they will use the maximin criterion. What will be their best play? c. What will be their best offensive play if State is equally likely to use any of its five defenses?
12. In Problem 6, the Tech coaches have reviewed game films and have determined the following probabilities that State will use each of its defenses: 54 Defense Probability 54 .40 63 .10 Wide tackle .20 Nickel .20 Blitz .10 Using expected value, rank Tech's plays from best to worst.
Transcribed Image Text:12. In Problem 6, the Tech coaches have reviewed game films and have determined the following probabilities that State will use each of its defenses: 54 Defense Probability 54 .40 63 .10 Wide tackle .20 Nickel .20 Blitz .10 Using expected value, rank Tech's plays from best to worst.
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