Final answer:
The probability of a student living within five miles or receiving financial aid is 35%. The probability that a student does not live within five miles is 80%. The questions pertain to probabilities and campus parking issues.
Step-by-step explanation:
When considering eligibility for a parking pass on college campuses, regulations such as living at least 1 mile from the campus center are specific to the institutions' policies. In the context of the provided information, we answer questions related to probability and campus issues, which are mathematical in nature.
Probability of Living within Five Miles of Campus or Receiving Financial Aid
The probability that a randomly chosen student at the local community college lives within five miles of the campus or receives some kind of financial aid is found by adding the probability of each individual event and subtracting the probability of both events happening together, since they are not mutually exclusive. Given that 20% live within five miles and 30% receive financial aid, and of those who live within five miles, 75% receive financial aid, the combined probability is:
P(Within 5 miles or Financial Aid) = P(Within 5 miles) + P(Financial Aid) - P(Both)
P(Both) is 20% of 75%, which is 15%. Therefore, P(Within 5 miles or Financial Aid) = 20% + 30% - 15% = 35%.
Probability of Not Living within Five Miles
The probability that a student does not live within five miles of the campus is given as 80 percent.
Probability of Contacting Four People
The probability that you need to contact four people before finding someone who lives within five miles is calculated using geometric distribution. The probability is given by (1 - P)^3 * P, where P is the probability of success (55%).
Probability and Parking Access
Given no numerical data on the rate of finding a parking space, we cannot calculate the exact probability of finding a parking spot in less than one minute. However, contextual information implies that finding a parking spot quickly would be unlikely, especially prior to the development of the new parking lot.