Two aiplanes are flying in the same drection in adjacent paralel coridors. At tine t0, the first airplane is 10 km alhead of the second one. Suppose the speed of the fiest plane (kmhr) is normaly distributed with mean 525 and standard devlation and the second plane's speed is also normaly distributed with mean and standard devlation 50s and 8. respectively A USE SALT (a) what is the probability that after 2 hr of fying. the second plane has not caught up to the first plane (Round you answer to four decimal places) (b) Determine the probability that the planes are separated by at most 10 km after 2 ht (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to andwer this question. Need Help? N We

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Chapter1: Combinatorial Analysis
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Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = o, the first airplane is 10 km ahead of the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 525 and standard deviation 8 and the second plane's speed is also normally distributed with mean and standard deviation 505 and 8,
respectively.
A USE SALT
(a) What is the probability that after 2 hr of flying, the second plane has not caught up to the first plane? (Round your answer to four decimal places.)
(b) Determine the probability that the planes are separated by at most 10 km after 2 hr. (Round your answer to four decimal places.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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Transcribed Image Text:Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = o, the first airplane is 10 km ahead of the second one. Suppose the speed of the first plane (km/hr) is normally distributed with mean 525 and standard deviation 8 and the second plane's speed is also normally distributed with mean and standard deviation 505 and 8, respectively. A USE SALT (a) What is the probability that after 2 hr of flying, the second plane has not caught up to the first plane? (Round your answer to four decimal places.) (b) Determine the probability that the planes are separated by at most 10 km after 2 hr. (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It Watch It
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