Final answer:
Without context, we cannot determine if segments GH and HJ are of the same length. Mutually exclusive is a term from probability and does not pertain to segment length. Information on specific university policies is needed to assess mutual exclusivity for housing and financial aid.
Step-by-step explanation:
The two segments GH and HJ are mentioned without any context, therefore it is not possible to determine if they have the same length or not. To conclude whether the segments are equal, additional information is usually required, such as a diagram or descriptions of their relationships to other segments or points. In statistics, the concept of mutually exclusive events is applicable. For example, when considering events F and G or J and H, two events are mutually exclusive if they cannot both occur at the same time.
This concept does not directly relate to the lengths of line segments but is associated with probability and outcomes. Similarly, the question about whether living in student housing within five miles of the campus and receiving some kind of financial aid are mutually exclusive would require information on the specific conditions and policies of the university or college in question.