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A football player is randomly selected from all NCAA Division I college teams. Define the events D = {the football player plays defense} and T = {the football player is over 6 feet tall}.
-Refer to question 36. Suppose that we also know that of all NCAA Division I football players, 15% are shorter than 6 feet. What do we know about events D and T?
A) They are independent events.
B) They are dependent events.
C) They are disjoint events.

Question

Use the following information for questions:
 A football player is randomly selected from all NCAA Division I college teams. Define the events D = {the football player plays defense} and T = {the football player is over 6 feet tall}.
-Refer to question 36. Suppose that we also know that of all NCAA Division I football players, 15% are shorter than 6 feet. What do we know about events D and T?
A) They are independent events.
B) They are dependent events.
C) They are disjoint events.

Quizplus · Accepted Answer

The fact that a specific percentage of players are shorter than 6 feet introduces a condition that affects the probability of a player being over 6 feet tall, which can also influence the probability of a player playing in a specific position such as defense. Therefore, the probability of one event (being over 6 feet tall) is dependent on the other event (playing defense), making these events dependent.

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