The capacity of an elevator is 12 people or 2052 pounds. The capacity will be exceeded if 12 people have weights with a mean greater than 2052 / 12 = 171 pounds. Suppose the people have weights that are normally distributed with a mean of 176 lb and a standard deviation of 35 lb. a. Find the probability that if a person is randomly selected, his weight will be greater than 171 pounds. The probability is approximately 0.5568 . (Round to four decimal places as needed.) b. Find the probability that 12 randomly selected people will have a mean that is greater than 171 pounds. The probability is approximately . (Round to four decimal places as needed.)