In response to the increasing weight of airline passengers, the Federal Aviation Administration told airlines to assume that pas
sengers average 190 pounds in the summer, including clothing and carry-on baggage. But passengers vary. The FAA gave a mean but not 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 25 passengers. What is the approximate probability that the total weight of the passengers exceeds 5,350 pounds