Question

The Federal Aviation Administration reports that American Airlines received 9.6 complaints of mishandled baggage per 1000 passengers in 2008. Assuming this rate applies to the next 500 passengers who travel with American Airlines, what is the expected number of complaints about mishandled baggage for these 500 passengers?

Answer 1

The expected number of complaints about mishandled baggage for the next 500 passengers traveling with American Airlines, calculated using the reported rate of 9.6 complaints per 1000 passengers, is 4.8 complaints.

Step-by-step explanation:

The Federal Aviation Administration reports that American Airlines received 9.6 complaints of mishandled baggage per 1000 passengers in 2008. To find the expected number of complaints for the next 500 passengers, we use a simple proportional calculation:

1. Multiply the rate of complaints per 1000 passengers by the number of passengers to find the expected complaints.
2. 9.6 complaints/1000 passengers × 500 passengers = 4.8 complaints.
3. Therefore, we expect 4.8 complaints of mishandled baggage for the next 500 passengers.

It is important to note that these numbers are an expectation based on the given rate, actual results may vary.