During the 2005 season of the AAA-class Baseball International League, medical teams documented 250 player injuries, which occurred in practice or in play, that caused players to lose playing time. The results were 100 training injuries, of these training injuries 70 were minor injuries. There are a total of 120 players with minor injuries. The following events are defined: Event A -> Minor injury Event A’ -> Major injury Event B -> Player injured during game Event B' -> Player injured during training.   Create a contingency table. Answer the following questions: a) What is the probability of selecting a player with a major injury? b) What is the probability of selecting an injured player during the game? c) What is the probability of selecting a player injured during the game who has suffered a major injury? d) If a player has suffered a major injury, what is the probability that the injury occurred in game? e) What is the probability of choosing a player with a minor injury and having suffered the injury in training? f) Which to choose a player with a minor injury or a player with an injury in training?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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During the 2005 season of the AAA-class Baseball International League, medical teams documented 250 player injuries, which occurred in practice or in play, that caused players to lose playing time. The results were 100 training injuries, of these training injuries 70 were minor injuries. There are a total of 120 players with minor injuries.

The following events are defined:

Event A -> Minor injury

Event A’ -> Major injury

Event B -> Player injured during game

Event B' -> Player injured during training.

 

  1. Create a contingency table.
  2. Answer the following questions:

a) What is the probability of selecting a player with a major injury?

  1. b) What is the probability of selecting an injured player during the game?
  2. c) What is the probability of selecting a player injured during the game who has suffered a major injury?
  3. d) If a player has suffered a major injury, what is the probability that the injury occurred in game?
  4. e) What is the probability of choosing a player with a minor injury and having suffered the injury in training?
  5. f) Which to choose a player with a minor injury or a player with an injury in training?
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