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Previous Problem Problem List Next Problem (1 point) Three airlines serve a small town in Ohio. Airline A has 52% of all scheduled flights. remaining 14%. Their on-time rates are 81% 67%, and 43%, respectively A fight just left on tme. What is the pr bability that it was a flight of airline A? arine B has 34% and airline C has the Probability = You have attempted this problem 0 times You have unlimited attempts remaining 1 (1)pptWeek 5 Ch 5 P3 (1.pptsWeek 5 Ch 3 92 (1ppts 018 09-01 ere to search 9

Explanation / Answer

P(Airline A) = 0.52

P(Airline B) = 0.34

P(Airline C) = 0.14

P(on time | airline A) = 0.81

P(on time | airline B) = 0.67

P(on time | airline C) = 0.43

P(on time) = P(on time | airline A) * P(airline A) + P(on time | airline B) * P(airline B) + P(on time | airline C) * P(airline C)

                 = 0.81 * 0.52 + 0.67 * 0.34 + 0.43 * 0.14

                 = 0.7092

P(airline A | on time) = P(on time | airline A) * P(airline A) / P(on time)

                                  = 0.81 * 0.52 / 0.7092

                                  = 0.5939

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