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In: Statistics and Probability

Vehicle speed on a particular bridge in China can be modeled as normally distributed? If 5%...

Vehicle speed on a particular bridge in China can be modeled as normally distributed?

If 5% of all vehicles travel less than 39.18 m/h and 10% travel more than 73.27 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.)

a) mean?

standard deviation?

b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.)

c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (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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