Travel and Transportation There are four major air carriers with flights from Boston to Los Angeles; 32% of all passengers take American Airlines, 25% take Jet Blue, 17% take United, and 26% take Virgin America. Data from 2012 indicate that 20% of all American Airlines flights from Boston to Los Angeles are late, 23% of Jet Blue flights from Boston to Los Angeles are late, 19% of United flights from Boston to Los Angeles are late, and 11% of Virgin America flights from Boston to Los Angeles are late.42 Suppose a passenger taking a flight from Boston to Los Angeles is randomly selected.
a. What is the probability that the passenger takes American Airlines and is late?
b. What is the probability that the passenger is late? On time?
c. Suppose the passenger arrives late. Which airline did the passenger most likely fly?