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

Question

Determine whether the events E and F are independent or dependent. Justify your answer ( EA person going o oeo F: The same person having a credit card. O E and F are dependent because going into debt has no effect on the probability of a person having a credit card. B. E and F are independent because going into debt has no effect on the probability of a person having a credit card yc. E and F are dependent because having a credit card can affect the probability of a person going into debt. 0 D, E and F are independent because having a credit card has no effect on the probability of a person going into debt A randomly selected person coloring her hair black. F: A different randomly selected person coloring her hair blond. (b) 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 because "person I coloring her hair black-could O c. E can affect the probability of F beca ld never occur, so the events are neither dependent nor independent use the people were randomly selected, so the events are dependent. D. E cannot affect F and vice versa because the people were randomly selected, so the events are Independent. (c) E: The consumer demand for synthetic diamonds. F: The amount of research funding for diamond synthesis. O A. The consumer demand for synthetic diamonds could affect the amount of research funding for diamond synthesis, so E and F are dependent O B. The consumer demand for synthetic diamonds could not affect the amount of research funding for dan ond synthesis, so E and F a e mone dent C. The amount of research funding for diamond synthesis could affect the consumer domand for synthetic da onds, so E and F are dependent Click to select your answer and then click Check Answer Clear All All parts showing Run script "doExercise(1):"

Explanation / Answer

Determine whether the events E and F are independent or dependent. Justify your answer ( EA person going o oeo F: The same person having a credit card. O E and F are dependent because going into debt has no effect on the probability of a person having a credit card. B. E and F are independent because going into debt has no effect on the probability of a person having a credit card yc. E and F are dependent because having a credit card can affect the probability of a person going into debt. 0 D, E and F are independent because having a credit card has no effect on the probability of a person going into debt A randomly selected person coloring her hair black. F: A different randomly selected person coloring her hair blond. (b) 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 because "person I coloring her hair black-could O c. E can affect the probability of F beca ld never occur, so the events are neither dependent nor independent use the people were randomly selected, so the events are dependent. D. E cannot affect F and vice versa because the people were randomly selected, so the events are Independent. (c) E: The consumer demand for synthetic diamonds. F: The amount of research funding for diamond synthesis. O A. The consumer demand for synthetic diamonds could affect the amount of research funding for diamond synthesis, so E and F are dependent O B. The consumer demand for synthetic diamonds could not affect the amount of research funding for dan ond synthesis, so E and F a e mone dent C. The amount of research funding for diamond synthesis could affect the consumer domand for synthetic da onds, so E and F are dependent Click to select your answer and then click Check Answer Clear All All parts showing Run script "doExercise(1):"

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