(1 point) The weight of students who use the main elevators in the Mathematical Sciences (MS) building varies from one student to another in accordance with a normal distribution with an average weight of 75.13 kilograms and a standard deviation of 8.56 kilograms. PART A What is the probability that a randomly chosen student leaving one of the main elevators in the MS bulding weighs at least 70 kilograms and at most 80 kilograms? Answer: (round to at least four decimals if necessary) PART B Find the 80 percentile of student weights. Answer: (round to at least four decimals if necessary) PART C Twelve students enter one of the main elevators in the MS building. What is the probability that exactly 6 of these students weigh more than 80 kilograms? Answer: (round to at least four decimals if necessary)