Question: According to U.S. Department of Transportation Data, in April of 2008, there were 253,190 complaints related to mishandling of baggage by U.S. Airlines. Mishandling includes lost, damaged, delayed, or pilfered baggage. The same data set also shows a total of 50,755,213 enplaned passengers during April 2008.

1. Assuming that the April 2008 numbers are typical for U.S. Airlines, what is the probability that a randomly selected passenger would have his or her luggage mishandled by airlines? Round your answer to three significant digits.
2. Lost luggage seems to be a favorite topic of travel experts and sometimes late-night talk show comedians. Travel expert Peter Greenberg is quoted as saying, "There are two types of bags: Carry-on and lost." Greenberg suggests sending your luggage ahead of you using FedEx or luggage services. Based on your answer to part a, is it unusual for a passenger to have mishandled luggage? Is Peter Greenberg’s comment and advice warranted? Explain your answers.
3. In computing the probability of a randomly selected passenger having his or her luggage mishandled, we used the total number of enplaned passengers. Do you think that is the correct number to use? Explain your answer.

Note: Data downloaded June 18, 2008 from http://airconsumer.ost.dot.gov/reports/atcr08.htm .

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