In response to the increasing weight of airline passengers, the Federal Aviation Administration (FAA) in 2003 told airlines to assume that passengers average 195pounds195pounds in the winter, including clothing and carry?on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35pounds.35pounds. Weights are not normally distributed, especially when the population includes both men and women, but they are not verynon?Normal.

A commuter plane carries 2222 passengers. What is the approximate probability that the total weight of the passengers exceeds 4500pounds?4500pounds? Use the four?step process to guide your work. Give your answer as a percentage precise to two decimal places. You may find TableAuseful.

probability