Determine whether the events E and F are independent or dependent Justify your a

Question

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 A. E and F are independent because being highly organized has no effect on the probability of a person having a high GPA B. E and F are dependent because having a high CPA has no effect on the probability of a person being highly organized C. E and F are dependent because being highly organized can affect the probability of a person having a high GPA D. E and F are independent because having a high GPA has no effect on the probability of a person being highly organized (b) E A randomly selected person accidentally killing a spider F Another randomly selected person accidentally swallowing a spider A. E cannot affect F because "person 1 accidentally killing a spider" could never occur so the events are neither dependent nor B. E can affect the probability of F. even if the two people are randomly selected so the events are dependent C. E cannot affect F and vice versa because the people were randomly selected, so the events are independent D. E can affect the probability of F because the people were randomly selected, so the events are dependent (c) E The rapid spread of a cocoa plant disease F The price of chocolate

Explanation / Answer

In (a) These 2 events are independant. Being highly organised does not neccessarily mean he will have a high GPA. Therefore OPTION A is the correct answer.

In (b) E cannot effect F as they are 2 randomly selected people, and therefore the events are independant.

OPTION C is the correct answer.

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