g. .- s. @ Take a Test - Livingston Johns x l a Chapter 5 Flashcards [Qutzlat 6 > 0' 'mathxl.comlStudenthlayerTesta5px?testid=233714692¢envin=yes MAT 152 Fall 2021 E Test: Test #2 ~ Chapter 4-6 Question 14 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 dependent because attaining a PhD can affect the probability of a person attaining a position as a professor. O B. 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 c. 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 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 at school A having a high GPA. F: A randomly selected person at school B having a low GPA. 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 can affect the probability of F, even ifthe two people are randomly selected, so the events are dependent. . E can affect the probability of F because the people were randomly selected, so the events'jre dependent. E cannot alfect F and vice versa because the people were randomly selected, so the events are independent (e) 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. O 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