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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Determine whether the events E and F are independent or dependent. Justify your answer.
...
(a) E: A person having a high GPA.
F: The same person being a heavy reader of assigned course materials.
O A. E and F are independent because having a high GPA has no effect on the probability of a person being a heavy reader of assigned course materials.
VB.
E and F are dependent because being a heavy reader of assigned course materials can affect the probability of a person having a high GPA.
E and F are dependent because having a high GPA has no effect on the probability of a person being a heavy reader of assigned course materials.
OD.
E and F are independent because being a heavy reader of assigned course materials has no effect on the probability of a person having a high GPA.
(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 and vice versa because the people were randomly selected, so the events are independent.
O B. 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 because the people were randomly selected, so the events are dependent.
D.
E can affect the probability of F, even if the two people are randomly selected, so the events are dependent.
(c) E: The unusually foggy weather in London on May 8.
F: The number of car accidents in London on May 8.
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.
OB.
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.
OC. 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.
Transcribed Image Text:Determine whether the events E and F are independent or dependent. Justify your answer. ... (a) E: A person having a high GPA. F: The same person being a heavy reader of assigned course materials. O A. E and F are independent because having a high GPA has no effect on the probability of a person being a heavy reader of assigned course materials. VB. E and F are dependent because being a heavy reader of assigned course materials can affect the probability of a person having a high GPA. E and F are dependent because having a high GPA has no effect on the probability of a person being a heavy reader of assigned course materials. OD. E and F are independent because being a heavy reader of assigned course materials has no effect on the probability of a person having a high GPA. (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 and vice versa because the people were randomly selected, so the events are independent. O B. 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 because the people were randomly selected, so the events are dependent. D. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. (c) E: The unusually foggy weather in London on May 8. F: The number of car accidents in London on May 8. 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. OB. 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. OC. 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.
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