In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 190 pounds 190
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 35 pounds.
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
22
passengers. What is the approximate probability
P
that the total weight of the passengers exceeds 4500 pounds?
4500
pounds?
Use the four‑step process to guide your work. Give your answer as a percentage precise to two decimal places.