A realistic estimate for the probability of an engine failure on a transatlantic flight is 1/14,000....
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A realistic estimate for the probability of an engine failure on a transatlantic flight is 1/14,000. Use this probability and the binomial probability formula to find the probabilities of 0,1,2,and 3 engine failures for a three-engine jet and the probabilities of 0,1, and 2 engine failures for a two-engine jet. Because of the numbers involved, carry all results to as many decimal places as your technology will allow. Summarize your results by entering the probabilities in the two accompanying tables. 1) Use the results from the tables and assume that a flight will be completed if at least one engine works. Find the probability of a safe flight with a three-engine jet, and the probability of a safe flight with a two-engine jet. 2) Use these results to make a determination about flight safety on a two-engine and a three-engine plane. What are some factors that the airlines may take into consideration when making the determination of whether to use a two-engine plane or a three engine plane for transatlantic flights? 3) Use these results to comment on whether you would prefer to be on a plane with two engines or three engines. Three Engines P(X) X0123 Two Engines P(X) X012 A realistic estimate for the probability of an engine failure on a transatlantic flight is 1/14,000. Use this probability and the binomial probability formula to find the probabilities of 0,1,2,and 3 engine failures for a three-engine jet and the probabilities of 0,1, and 2 engine failures for a two-engine jet. Because of the numbers involved, carry all results to as many decimal places as your technology will allow. Summarize your results by entering the probabilities in the two accompanying tables. 1) Use the results from the tables and assume that a flight will be completed if at least one engine works. Find the probability of a safe flight with a three-engine jet, and the probability of a safe flight with a two-engine jet. 2) Use these results to make a determination about flight safety on a two-engine and a three-engine plane. What are some factors that the airlines may take into consideration when making the determination of whether to use a two-engine plane or a three engine plane for transatlantic flights? 3) Use these results to comment on whether you would prefer to be on a plane with two engines or three engines. Three Engines P(X) X0123 Two Engines P(X) X012
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Statistics The Art and Science of Learning from Data
ISBN: 978-0321755940
3rd edition
Authors: Alan Agresti, Christine A. Franklin
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