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Determine whether the events E and F are independent or dependent. Justify your answer. (a) E: A person living at least 70 years. F:
Determine whether the events E and F are independent or dependent. Justify your answer. (a) E: A person living at least 70 years. F: The same person regularly handling venomous snakes. OA. E and F are dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. OB. E and F are independent because regularly handling venomous snakes has no effect on the probability of a person living at least 70 years. OC. E and F are dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years. OD. E and F are independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. (b) E: A randomly selected person coloring her hair black. F: A different randomly selected person coloring her hair blond. OA. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. OB. E can affect the probability of F because the people were randomly selected, so the events are dependent. OC. E cannot affect F because "person 1 coloring her hair black" could never occur, so the events are neither dependent nor independent. D. E cannot affect F and vice versa because the people were randomly selected, so the events are independent.
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