The Bureau of Transportation Statistics reports on-time performance for airlines at major U. airports. JetBlue, United, and US Airways share Terminal…

The Bureau of Transportation Statistics reports on-time performance for airlines at major U.S. airports. JetBlue, United, and US Airways share Terminal C at Boston’s Logan Airport. The percentage of on-time flights reported for a sample month were 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the flights arriving at Terminal C are JetBlue flights, 32% are United flights, and 38% US Airways flights. a. Develop a joint probability table with three rows (the airlines) and two columns (ontime and late). b. An announcement is made that Flight 1382 will be arriving at gate 20 of Terminal C. What is the probability that Flight 1382 will arrive on time? c. What is the most likely airline for Flight 1382? What is the probability that Flight 1382 is by this airline? d. Suppose that an announcement is made saying that Flight 1382 will now be arriving late. What is the most likely airline for this flight? What is the probability that Flight 1382 is by this airline?

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