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Three airlines serve a small town in Ohio. Airline A has 52% of all scheduled flights, airline B has 27% and airline C has the remaining 21%. Their on-time rates are 83%, 66%, and 36%, respectively. A flight just left on-time. What is the probability that it was a flight of airline A?

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Answer:

Step-by-step explanation:

Given that three airlines serve a small town in Ohio. Airline A has 52% of all scheduled flights, airline B has 27% and airline C has the remaining 21%.

Their on-time rates are 83%, 66%, and 36%, respectively.

Airlines A B C  

   

Flights                52%                  27%             21%   100%

On time rates  83%                  66%         36%  

   

Flight*online rates 43.1600% 17.8200% 7.5600% 68.5400%

Thus the above table shows the product of no of flights and on time rates.

Prob it was airline A given it left on time

= [tex]\frac{43.16}{68.54} \\=0.6297[/tex]

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