The capacity of an elevator is 15 people or 2640 pounds. The capacity will be exceeded if 15 people have weights with a mean greater than 2640 / 15 = 176 pounds. Suppose the people have weights that are normally distributed with a mean of 179 lb and a standard deviation of 32 lb. a. Find the probability that if a person is randomly selected, his weight will be greater than 176 pounds. The probability is approximately 0.5359 . (Round to four decimal places as needed.) b. Find the probability that 15 randomly selected people will have a mean that is greater than 176 pounds. The probability is approximately .(Round to four decimal places as needed.)