In response to the increasing weight of airline passengers t

In response to the increasing weight of airline passengers, the Federal Aviation Administration (FFA) told airlines to assume that passengers average 190 lbs 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 lbs. 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 36 passengers.

a) What is the approximate probability that the total weight og the passengers exceeds 7,500 lbs? (Carry your anser to 4 decimal places, if necessary. HINT: To apply the Central Limit Theorem, restate the problem in terms of the average weight.)

Solution