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Determine whether the events E and F are independent or dependent. Justify your answer (a) E: A person having a high GPA F: The same person being highly organized O



A. E and F are independent because having a high GPA has no effect on the probability f a person being highly organized


B. E and F are independent because being highly organized has no effect on the probability of a person having a high GPA


C. E and F are dependent because having a high GPA has no effect on the probability of a person being highly organized.


D. E and F are dependent because being highly organized can affect the probability of a person having a high GPA E: A randomly selected person having a high GPA.

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Answer:

C

Step-by-step explanation:

independent events are those where outcome of one event is not effected by the outcome of the other event

F is intersection of O and E. E and O are independent events

F has a subset ( high GPA and highly organized) that is dependent on E.

E and O have subsets that that is person having high GPA or is highly organized that are not dependent on F.

The above explanation nullifies option A and B and D.

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