In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothing and carry-on baggage. But passengers vary, and the FFA did not specify a standard deviation. A reasonable standard deviation is 35 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 22 passengers. With the approximate probability P that the total weight of the passengers exceeds 4500 pounds? Use the four-step process to guide your work.