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at an Los Angeles international airport (LAX), 60% of the flights using the runway are major...

at an Los Angeles international airport (LAX), 60% of the flights using the runway are major airlines, 30% of the flights are commercial airplanes, 10% of the flights are privately owned planes. Among the major airlines, 50% will leave LAX within two hours, whereas 60% of commercial airplanes and 90% of privately owned planes will leave LAX within two hours. Suppose we randomly select one fight at LAX. What is the probability that it will be a commercial airplane, given that the selected flight leaves LAX within two hours?

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TOPIC:Application of the Bayes' theorem.

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