In a report published on airline companies, there is some information about the number of aircraft they have and their performance on time. There are three airline companies in the related report, namely A, Be and C companies. take-off performance criterion. It has been evaluated by considering two criteria, which are the planes taking off on time (Z) and the planes delayed (R). Considering the total number of aircraft included in the report: Company A owns 50% of the total aircraft, while Company B owns 30% of the total aircraft. Considering the take-off performances, the probability of taking off on time for a plane belonging to company A is 0.80, the probability of taking off on time for a plane belonging to company B is 0.90, and the probability of taking off on time for a plane belonging to company C is 0.85. What is the probability that a plane known to be delayed is a plane belonging to Company C?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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In a report published on airline companies, there is some information about the number of aircraft they have and their performance on time. There are three airline companies in the related report, namely A, Be and C companies. take-off performance criterion. It has been evaluated by considering two criteria, which are the planes taking off on time (Z) and the planes delayed (R). Considering the total number of aircraft included in the report: Company A owns 50% of the total aircraft, while Company B owns 30% of the total aircraft. Considering the take-off performances, the probability of taking off on time for a plane belonging to company A is 0.80, the probability of taking off on time for a plane belonging to company B is 0.90, and the probability of taking off on time for a plane belonging to company C is 0.85. What is the probability that a plane known to be delayed is a plane belonging to Company C?

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