Question 1076573: Please help me solve problem.
Three airlines serve International airport. Airline A has 60% of all the scheduled flights, airline B has 30% and airline C has the remainder. Their on-time rates are 80%, 60% and 40% respectively. Define the event O as "an airline arrives on time".
If a plane has just left on time, what is the probability that it was airline C?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! lease help me solve problem.
Three airlines serve International airport. Airline A has 60% of all the scheduled flights, airline B has 30% and airline C has the remainder.
Their on-time rates are 80%, 60% and 40% respectively. Define the event O as "an airline arrives on time".
P(an airline arrives on time) = 0.8*0.6+0.6*0.3+0+0.4*0.1 = 0.7
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If a plane has just left on time, what is the probability that it was airline C?
P(C on time | an airplane on time)= P(Contime AND aplaneontime)/P(a plane on time)
= (0.4*0.1)/0.7 = 0.057
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Cheers,
Stan H.
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