The Bureau of Transportation reports on-time performance for airlines at major airports.

JetBlue, United, and US Airways share Terminal C and 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 arriving flights at this terminal are JetBlue flights, 32% are United flights, and 38% are US Airways flights.

a. Develop a contingency table (table of joint probabilities and marginal probabilities).

b. An announcement is made that Flight 1382 will arrive at Terminal C. What is the probability that the flight will arrive on time?

c. Flight 1382 arrives on time. What is the probability that Flight 1382 is operated by US Airways?

d. Flight 1382 will not arrive on time. What is the probability that Flight 1382 is operated by United?