b) A study shows that 8,657 out of 28,866 UUM students own a motorcycle. Suppose from a sample of 150 students selected, 57 of them own motorcycles. Compute the sample proportion of those that own motorcycles. c) The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 6.5 minutes and a standard deviation of 2 minutes. Let Xˉ be the mean delivery time for a random sample of 16 orders at this restaurant. i. Find the probability that the mean delivery time is between FIVE (5) and EIGHT (8) minutes. ii. Find the probability that the delivery time is within ONE (1) minute of the population mean. d) A recent study on 500 students in De Eriz Performing Arts College indicated that 72% of students if given a choice, would prefer a physical class instead of an online class. If a random sample of 29 students is chosen, calculate the probability that at least 73% would prefer a physical class instead of an online class.