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{"ops":[{"insert":"It is widely known that many drivers on interstate highways\nin the United States do not observe the posted\nspeed limit. Assume that the actual rates of speed\ndriven by U.S. motorists are normally distributed with\nmean \u001f mph and standard deviation 5 mph. Given this\ninformation, answer each of the following independent\nquestions. (Hint: Use Goal Seek in parts a and b, and\nuse the Solver add-in with no objective in part c. Solver\nis usually used to optimize, but it can also be used to\nsolve equations with multiple unknowns.)\na. If 40% of all U.S. drivers are observed traveling at\n65 mph or more, what is the mean \u001f?\nb. If 25% of all U.S. drivers are observed traveling at\n50 mph or less, what is the mean \u001f?\nc. Suppose now that the mean \u001f and standard deviation\u001d\u001e\nof this distribution are both unknown. Furthermore, it\nis observed that 40% of all U.S. drivers travel at less\nthan 55 mph and 10% of all U.S. drivers travel at more\nthan 70 mph. What must \u001f and \u001e be?\n"}]}
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