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Davis Aircraft Co. is developing a new wing de-icer system, which it has installed on 30 commercial airliners. The system is designed so that the

Davis Aircraft Co. is developing a new wing de-icer system, which it has installed on 30 commercial airliners. The system is designed so that the percentage of ice removed is normally distributed with mean 96 and standard deviation 7. The FAA will do a spot check of six of the airplanes with the new system, and will approve the system if at least 98 percent of the ice is removed on average. What is the probability that the system receives FAA approval?

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