Answer:
If a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
Step-by-step explanation:
Since three airlines serve a small town in Ohio, and Airline A has 48% of all scheduled flights, airline B has 35% and airline C has the remaining 17%, and their on-time rates are 81%, 70%, and 41%, respectively, if a flight just left on-time, to determine what is the probability that it was a flight of airline A the following calculation must be performed:
A = 0.48 x 0.81 = 38.88
B = 0.35 x 0.7 = 23.5
C = 0.17 x 0.41 = 6.97
38.88 + 23.5 + 6.97 = 100
38.88 = X
69.35 = 100
38.88 = X
38.88 x 100 / 69.35 = X
3,888 / 69.35 = X
56.06 = X
Therefore, if a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
