Final answer:
The original question about home game attendance by a heavy fan user does not provide enough information to be answered accurately. Option A is correct.
Step-by-step explanation:
The question seems to be a part of a mathematics problem regarding probability and statistics. However, the question about the percentage of live home games a heavy user on the fan escalator of involvement goes to see is missing context and sufficient data to provide an accurate answer. For such a problem, one would typically need specific data about the fan attendance behavior to calculate the percentage.
If we look at the information provided, we can answer the question about the independence and exclusivity of two events. Rooting for the away team (Event A) and wearing blue (Event B) are not independent because the information given shows a relationship between the two - 20 percent of fans are both wearing blue and rooting for the away team.
Furthermore, since 67 percent of the fans rooting for the away team are wearing blue, we can deduce that these events cannot be independent. They are not mutually exclusive either, as there is an overlap (fans who are doing both - rooting for the away team and wearing blue).
Regarding other unrelated parts about the intensity of fandom, evidence of EVC students' attendance to a Harry Potter showing, and student participation in after-school sports, they do not provide relevant data to answer the original question about live home game attendance percentages.