Determine whether the events E and F are independent or dependent. Justify your answer:
(a) E: A randomly selected person having high GPA. F: A different randomly selected person having low GPA.
E cannot affect F, and vice versa, because the people were randomly selected. So, the events are independent.
(b) E: The unusually foggy weather in London on May 8. F: The number of car accidents in London on May 8.
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.
(c) E: The unusually foggy weather in London on May 8. F: The number of car accidents in London on May.
The unusually foggy weather in London on May 8 could not affect the number of car accidents in London on May, so E and F are independent.