In response to the increasing weight of airline passengers, the federal aviation administration in 2003 told airlines to assume that passengers average 189.7 pounds in the summer, including clothing and carry-on baggage. but passengers vary, and the faa did not specify a standard deviation. a reasonable standard deviation is 41.4 pounds. weights are not normally distributed, especially when the population includes both men and women, but they are not very non-normal. a commuter plane carries 27 passengers. what is the approximate probability (±0.0001) that the total weight of the passengers exceeds 5511 pounds?