The masses of bottles produced by the Guinness factory in Ireland have a population mean of 200 grams. Suppose the population variance of the bottles is 125 grams. Round all answers to 3 decimals. a. What is the probability that the mass of a randomly selected bottle is between 185 and 215 grams? If you can compute the exact probability, do so. If you cannot, then use an appropriate approximation. S b. Suppose that we have a sample of 34 bottles. What is the probability that the sample average mass is between 198.66 and 201.34 grams? If you can compute the exact probability, do so. If you cannot, then use an appropriate approximation. E