https://www.transportation.gov/sites/dot.gov/files/docs/2012AprilATCR_1.pdf

Take a look at this report produced by the Aviation Consumer Protection Division of the Office of Aviation Enforcement and Proceedings, which is a part of the US Department of Transportation. Specifically, you're interested in table 2, on-time flight arrivals, which starts on page 6 and ends on page 9. The data in the table is from a typical month, so each percentage in the table can be thought of as a probability. You can answer many probability questions using this table.

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Directions and Analysis

Task 1: Questions You Can Answer with Table 2

Refer to table 2 of the Air Travel Consumer Report to answer these questions.

1. Given that a randomly chosen flight arrives in Atlanta (ATL), what is the probability that it arrives on time?

A. Given that a randomly chosen US Airways (US) flight arrives in Denver (DEN), what is the probability that it arrives on time?

B. Given that a randomly chosen flight arrives in Los Angeles (LAX), what is the probability that the carrier is American Airlines (AA)?

C. Chicago has two airports (MDW and ORD). If you're flying with Delta Airlines (DL) and your primary concern is to arrive on time, is it better to fly to MDW or to ORD?

D. New York City has two airports (JFK and LGA). If you're flying with United Airlines (UA) and your primary concern is to arrive on time, is it better to fly to JFK or to LGA?

Task 2: Questions That Are Difficult or Nearly Impossible to Answer with Table 2

Many questions are difficult or nearly impossible to answer using table 2 in its current form. Since computing the answers to these questions is difficult or close to impossible, just give the formulas you would need to obtain the answers to these questions.

2.What is the probability that a randomly chosen flight arrives on time?

A. Overall, which carrier has the highest probability of arriving on time?

B. Given that a randomly chosen flight arrives on time, what is the probability that it arrives in Philadelphia (PHL)?

C. Given that the carrier is Hawaiian Airlines (HA), what is the probability that a randomly chosen flight arrives on time?

D. If you're a frequent flyer who travels to many different airports, and you have the choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?