You are meeting a friend at Fort Myers Airport. According to Bureau of Transportation Statistics, flights into Fort Myersthat are not on Southwest airlinesare on time 73% of the time, but Southwest has a better record and is on time 77% of the time. You cannot remember what airline she is taking but you know that in the past she has flown on Southwest 70% of the time. The plane is late. What is the probability that she is on Southwest?

Round to 4 decimal places.