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Determine whether the events E and F are independent or dependent. Justify your answer (a) E A person attaining a position as a professor F The same person attaining a PhD OA. E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. OB. E and F are independent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. OC. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor OD. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor (b) E A randomly selected person coloring her hair black. FA 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 cannot affect F and vice versa because the people were randomly selected, so the events are independent. OC. E cannot affect F because "person 1 coloring her hair black could never occur, so the events are neither dependent nor independent. OD. E can affect the probability of F because the people were randomly selected, so the events are dependent (c) E The war in a major oil-exporting country F. The price of gasoline OA. The war in a major oil-exporting country could affect the price of gasoline, so E and F are dependent.

Determine whether the events E and F are independent or dependent. Justify your answer OA E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD OB. E and F are independent because attaining a position as a professor has no effect on the probability of a person attaining a PhD OC. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor OD. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor (b) E. A randomly selected person coloring her hair black FA different randomly selected person coloring her hair blond CID OA. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent OB. E cannot affect F and vice versa because the people were randomly selected, so the events are independent OC. E cannot affect F because "person 1 coloring her hair black could never occur, so the events are t OD. E can affect the probability of F because the people were randomly selected, so the events are dependent (c) E The war in a major oil-exporting country F. The price of gasoline dependent nor independent OA. The war in a major oil-exporting country could affect the price of gasoline, so E and F are dependent OB. The price of gasoline could affect the war in a major oil-exporting country, 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

OA. E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. OB. E and F are independent because attaining a position as a professor has no effect on the probability of a person attaining a PhD OC. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor OD. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor (b) E A randomly selected person coloring her hair black FA different randomly selected person coloring her hair blond BELED OA. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent OB. E cannot affect F and vice versa because the people were randomly selected, so the events are independent OC. E cannot affect F because "person 1 coloring her hair black could never occur, so the events are neither dependent nor independent. OD. E can affect the probability of F because the people were randomly selected, so the events are dependent. (c) E The war in a major oil-exporting country F. The price of gasoline OA. The war in a major oil-exporting country could affect the price of gasoline, so E and F are dependent OB. The price of gasoline could affect the war in a major oil-exporting country, 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