In: Statistics and Probability
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.