The airline industry defines an on-time flight as one that arrives within 15 minutes of its scheduled time. The following table shows the number of on-time and late flights leaving Philadelphia and arriving in Orlando during a recent time period by airline:

Airline On-Time Late Southwest 239 68 US Airways 288 130 Air Tran 180 63

a. What is the probability that a randomly selected flight was from Southwest and was on time?

b. What is the probability that a randomly selected flight was from Air Tran or was on time?

c. Given that the flight was late, what is the probability that it was from US Airways?

d. Given that the flight was from Southwest, what is the probability that it was late?

e. Construct a decision tree for these probabilities.

AppendixLO1