in response to the increasing weight of airline passengers, the federal aviation administration (faa) told airlines to assume that passengers average 190 pounds in the summer, including clothes and carry-on baggage. but passengers vary, and the faa did not specify a standard deviation. a reasonable standard deviation is 35 pounds. a commuter plane carries 30 passengers. find the probability that the total weight of 30 randomly selected passengers exceeds 6000 pounds. (hint: to calculate this probability, restate the problem in terms of the mean weight.)