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. O A. E and Fare dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. O B. 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 Fare independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. O D. E and Fare dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years. (b) E: A randomly selected person at school A having a high GPA. F: A randomly selected person at school B having a low GPA. O A. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. O B. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O C. E can affect the probability of F because the people were randomly selected, so the events are dependent. O D. E cannot affect F because "person 1 at school A having a high GPA" could never occur, so the events are neither dependent nor independent. E: The war in a major oil-exporting country. F: The price of gasoline. (c) O A. The price of gasoline could affect the war in a major oil-exporting country, so E and F are dependent. O B. The war in a major oil-exporting country could affect the price of gasoline, so E and F are dependent. OC. The war in a major oil-exporting country could not affect the price of gasoline, so E and F are independent.

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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: The same person regularly handling venomous snakes.
A. E and F are dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes.
B. E and F are independent because regularly handling venomous snakes has no effect on the probability of a person living at least 70 years.
O C. E and F are independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes.
O D. E and F are dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years.
(b) E: A randomly selected person at school A having a high GPA.
F: A randomly selected person at school B having a low GPA.
O A. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent.
B. E cannot affect F and vice versa because the people were randomly selected, so the events are independent.
O C. E can affect the probability of F because the people were randomly selected, so the events are dependent.
D. E cannot affect F because "person 1 at school A having a high GPA" could never occur, so the events are neither dependent nor independent.
(c)
E: The war in a major oil-exporting country.
F: The price of gasoline.
O A. The price of gasoline could affect the war in a major oil-exporting country, so E and F are dependent.
B. The war in a major oil-exporting country could affect the price of gasoline, so E and F are dependent.
O C. The war in a major oil-exporting country could not affect the price of gasoline, so E and F are independent.
O O
Transcribed Image Text: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. A. E and F are dependent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. B. E and F are independent because regularly handling venomous snakes has no effect on the probability of a person living at least 70 years. O C. E and F are independent because living at least 70 years has no effect on the probability of a person regularly handling venomous snakes. O D. E and F are dependent because regularly handling venomous snakes can affect the probability of a person living at least 70 years. (b) E: A randomly selected person at school A having a high GPA. F: A randomly selected person at school B having a low GPA. O A. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. B. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O C. E can affect the probability of F because the people were randomly selected, so the events are dependent. D. E cannot affect F because "person 1 at school A having a high GPA" could never occur, so the events are neither dependent nor independent. (c) E: The war in a major oil-exporting country. F: The price of gasoline. O A. The price of gasoline could affect the war in a major oil-exporting country, so E and F are dependent. B. The war in a major oil-exporting country could affect the price of gasoline, so E and F are dependent. O C. The war in a major oil-exporting country could not affect the price of gasoline, so E and F are independent. O O
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