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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. O A. E and F are independent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. O B. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor. O C. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor. O D. E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. (b) E: A randomly selected person coloring her hair black. F:A different randomly selected person coloring her hair blond. 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 can affect the probability of F because the people were randomly selected, so the events are dependent. O C. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O D. E cannot affect F because "person 1 coloring her hair black" could never occur, so the events are neither dependent nor independent. (c) E: The unusually foggy weather in London on May 8. r. TL-

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. O A. E and F are independent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. O B. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor. O C. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor. O D. E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. (b) E: A randomly selected person coloring her hair black. F:A different randomly selected person coloring her hair blond. 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 can affect the probability of F because the people were randomly selected, so the events are dependent. O C. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O D. E cannot affect F because "person 1 coloring her hair black" could never occur, so the events are neither dependent nor independent. (c) E: The unusually foggy weather in London on May 8. r. TL-

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 7CC: a What is meant by the conditional probability of E given F? How is this probability calculated? b...
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13. What’s are the answers to a,b, and c
SA. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. O B. E can affect the probability of F because the people were randomly selected, so the events are dependent. O C. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O D. E cannot affect F because "person 1 coloring her hair black" could never occur, so the events are neither dependent nor independent. (c) E: The unusually foggy weather in London on May 8. F: The number of car accidents in London on May 8. O A. The number of car accidents in London on May 8 could affect the unusually foggy weather in London on May 8, so E and F are dependent. O B. The unusually foggy weather in London on May 8 could affect the number of car accidents in London on May 8, so E and F are dependent. O C. The unusually foggy weather in London on May 8 could not affect the number of car accidents in London on May 8, so E and F are independent. O Type here to search Hi W I01 50 24 %23 13. (C) 5 R T 4)
Transcribed Image Text:SA. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. O B. E can affect the probability of F because the people were randomly selected, so the events are dependent. O C. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O D. E cannot affect F because "person 1 coloring her hair black" could never occur, so the events are neither dependent nor independent. (c) E: The unusually foggy weather in London on May 8. F: The number of car accidents in London on May 8. O A. The number of car accidents in London on May 8 could affect the unusually foggy weather in London on May 8, so E and F are dependent. O B. The unusually foggy weather in London on May 8 could affect the number of car accidents in London on May 8, so E and F are dependent. O C. The unusually foggy weather in London on May 8 could not affect the number of car accidents in London on May 8, so E and F are independent. O Type here to search Hi W I01 50 24 %23 13. (C) 5 R T 4)
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. O A. E and F are independent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. OB. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor. OC. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor. O D. E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. (b) E: A randomly selected person coloring her hair black. F: A different randomly selected person coloring her hair blond. 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 can affect the probability of F because the people were randomly selected, so the events are dependent. OC. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O D. E cannot affect F because "person 1 coloring her hair black" could never occur, so the events are neither dependent nor independent. (c) E: The unusually foggy weather in London on May 8. P Type here to search 近
Transcribed Image Text: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. O A. E and F are independent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. OB. E and F are dependent because attaining a PhD can affect the probability of a person attaining a position as a professor. OC. E and F are independent because attaining a PhD has no effect on the probability of a person attaining a position as a professor. O D. E and F are dependent because attaining a position as a professor has no effect on the probability of a person attaining a PhD. (b) E: A randomly selected person coloring her hair black. F: A different randomly selected person coloring her hair blond. 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 can affect the probability of F because the people were randomly selected, so the events are dependent. OC. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. O D. E cannot affect F because "person 1 coloring her hair black" could never occur, so the events are neither dependent nor independent. (c) E: The unusually foggy weather in London on May 8. P Type here to search 近
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