Question

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?

Answer 1

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

=
`(43.16)/(68.54) \\=0.6297`