Question

glu years old. U 10. Three airlines serve a small town in Ohio. Airline A verbeterine is 47% ontine B has 47A-fight just tett -time. What is the probability that it was a flight of airline 47 Airline B is 60% ontime, and Cis 35% on time. 42% of the public uses A and 38% use c. If a flight is ontine, what is probability it is from airline Ć ?

Answer 1

P(A) = 0.42

P(C) = 0.38

P(B) = 1 - 0.42 - 0.38 = 0.2

P(Time | A) = 0.47

P(Time | B) = 0.6

P(Time | C) = 0.35

P(C | Time) =

0.380.35 0.2953 _ 0.42 0.47 0.2 0.6 0.38 0.35

So, the probability that if a flight is on time then it is from airline C is 0.2953.