Statistics Solutions

[All Steps] In Problem 11 the Tech coaches have reviewed game films and have determined the following probabilities that State will use each of its defenses:

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 0.4
63 0.1
Wide Tackle 0.2
Nickel 0.2
Blitz 0.1
  1. using expected value, rank tech’s plays from best to worst
  2. 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

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