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thank you!!!!!!!!! The speed of cars driving along Highway 101 is normally distributed with mean 67 miles per hour and standard deviation 12 miles per

thank you!!!!!!!!!

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The speed of cars driving along Highway 101 is normally distributed with mean 67 miles per hour and standard deviation 12 miles per hour. The speed limit on Highway 101 is 82 miles per hour and surveillance technology measures the speed of all cars so that drivers are fined for speeding. a. What is the probability that the next car we observe traveling on Highway 101 is traveling slower than 64 miles per hour? Round your answer to 4 decimal places. b. We randomly observe 36 cars; what is the chance that the combined average speed of these 36 cars is less than 59 miles per hour? c. What proportion of drivers will be fined for speeding? d. In addition to being fined for speeding, drivers driving 15 miles per hour over the speed limit also get their driver's license suspended. Among drivers who are fined, what proportion will lose their driving privileges

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