Determine whether the events E and F are independent or dependent. Justify your answer. ..... E: A person having an at-fault accident. (a) F: The same person being prone to road rage. O A. E and F are dependent because having an at-fault accident has no effect on the probability of a person being prone to road rage. O B. E and F are dependent because being prone to road rage can affect the probability of a person having an at-fault accident. OC. E and F are independent because having an at-fault accident has no effect on the probability of a person being prone to road rage. O D. E and F are independent because being prone to road rage has no effect on the probability of a person having an at-fault accident. (b) E: A randomly selected person planting tulip bulbs in October. F: A different randomly selected person planting tulip bulbs in April. O A. 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 planting tulip bulbs in October" could never occur, so the events are neither dependent nor independent. O C. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. O D. E can affect the probability of F because the people were randomly selected, so the events are dependent. (c) E: The rapid spread of a cocoa plant disease. F: The price of chocolate. O A. The rapid spread of a cocoa plant disease could not affect the price of chocolate, so E and F are independent. O B. The price of chocolate could affect the rapid spread of a cocoa plant disease, so E and F are dependent. O C. The rapid spread of a cocoa plant disease could affect the price of chocolate, so E and F are dependent.

MATLAB: An Introduction with Applications
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Determine whether the events E and F are independent or dependent. Justify your answer.
.....
(a)
E: A person having an at-fault accident.
F: The same person being prone to road rage.
A. E and F are dependent because having an at-fault accident has no effect on the probability of a person being prone to road rage.
B. E and F are dependent because being prone to road rage can affect the probability of a person having an at-fault accident.
C. E and F are independent because having an at-fault accident has no effect on the probability of a person being prone to road rage.
O D. E and F are independent because being prone to road rage has no effect on the probability of a person having an at-fault accident.
(b) E: A randomly selected person planting tulip bulbs in October.
F: A different randomly selected person planting tulip bulbs in April.
A. E cannot affect F and vice versa because the people were randomly selected, so the events are independent.
B. E cannot affect F because "person 1 planting tulip bulbs in October" could never occur, so the events are neither dependent nor independent.
C. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent.
D. E can affect the probability of F because the people were randomly selected, so the events are dependent.
E: The rapid spread of a cocoa plant disease.
F: The price of chocolate.
(c)
A. The rapid spread of a cocoa plant disease could not affect the price of chocolate, so E and F are independent.
B. The price of chocolate could affect the rapid spread of a cocoa plant disease, so E and F are dependent.
O c. The rapid spread of a cocoa plant disease could affect the price of chocolate, so E and F are dependent.
OO
Transcribed Image Text:Determine whether the events E and F are independent or dependent. Justify your answer. ..... (a) E: A person having an at-fault accident. F: The same person being prone to road rage. A. E and F are dependent because having an at-fault accident has no effect on the probability of a person being prone to road rage. B. E and F are dependent because being prone to road rage can affect the probability of a person having an at-fault accident. C. E and F are independent because having an at-fault accident has no effect on the probability of a person being prone to road rage. O D. E and F are independent because being prone to road rage has no effect on the probability of a person having an at-fault accident. (b) E: A randomly selected person planting tulip bulbs in October. F: A different randomly selected person planting tulip bulbs in April. A. E cannot affect F and vice versa because the people were randomly selected, so the events are independent. B. E cannot affect F because "person 1 planting tulip bulbs in October" could never occur, so the events are neither dependent nor independent. C. E can affect the probability of F, even if the two people are randomly selected, so the events are dependent. D. E can affect the probability of F because the people were randomly selected, so the events are dependent. E: The rapid spread of a cocoa plant disease. F: The price of chocolate. (c) A. The rapid spread of a cocoa plant disease could not affect the price of chocolate, so E and F are independent. B. The price of chocolate could affect the rapid spread of a cocoa plant disease, so E and F are dependent. O c. The rapid spread of a cocoa plant disease could affect the price of chocolate, so E and F are dependent. OO
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