Question

determine whether the events e and f are independent or dependent. justify your answer. complete parts (a) through (c)
(a) e: having an at - fault accident.
f: being prone to road rage.
choose the correct answer.
○ a. events 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. events 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.
○ c. events 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.
○ d. events e and f are dependent because being prone to road rage can affect the probability of a person having an at - fault accident.

Explanation:

Independent events mean that the occurrence of one event does not affect the probability of the occurrence of the other event. Dependent events mean that the occurrence of one event affects the probability of the occurrence of the other event. In this case, being prone to road rage (event F) can potentially increase the likelihood of having an at - fault accident (event E). For example, a person with road rage may drive more aggressively, which is a risk factor for accidents.

Answer:

D. Events E and F are dependent because being prone to road rage can affect the probability of a person having an at - fault accident.