1) The length of time it takes a college student to find a parking spot in the library parking lot has a mean of 3.5 minutes and a standard deviation of 1.5 minutes. Assuming that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution. a) Find the probability that a randomly selected college student will take less than 2.75 minutes to find a parking spot in the library parking lot. b) Find the probability that a randomly selected college student will take between 1.5 and 8 minutes to find a parking spot in the library parking lot. c) College wishes to direct only 8% 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? d) Find the probability that one out of 4 randomly selected of college students will take between 1.5 and 8 minutes to find a parking spot in the library parking lot. (Do not bother to carry out the calculation)