Final answer:
The probability cannot be determined without specific data on the student population and their distances from the campus. Therefore, the correct answer is D. Cannot be determined.
Step-by-step explanation:
The question presented is asking for the probability of a certain event, which is a mathematical concept dealing with likelihood or chance. To find the probability that a randomly chosen student at the local community college does not live within five miles of the campus, we would need specific data on the student population and their distances from the campus. Without this crucial information, the probability cannot be accurately calculated and the answer is D. Cannot be determined. This is because probability requires a ratio of the number of favorable outcomes to the total number of possible outcomes, and in the absence of these figures, we cannot compute that ratio.