Question: If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute.

a. Find the probability that a randomly selected college student will take between 3.55 and 4.65 minutes to find a parking spot in the library parking lot.

b. Find the probability that a randomly selected college student will take at least 3.25 to find a parking spot in the library parking lot.

c. College wishes to direct only 7% of the students to another lot when they are trying to find a parking spot in the library parking lot. What is the time limit for finding parking spot in the library parking lot?