Vehicle speed on a particular bridge in China can be modeled as normally distributed If 5% of all vehicles travel less than 39.12 m/h and 10% travel more than 73.24 m/h, what are the mean and standard deviation of vehicle speed? [Note: The resulting values should agree with those given in the cited article.] What is the probability that a randomly selected vehicle’s speed is between 50 and 65 m/h? What is the probability that a randomly selected vehicle’s speed exceeds the speed limit of 70 m/h?

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

  1. If 5% of all vehicles travel less than 39.12 m/h and 10% travel more than 73.24 m/h, what are the mean and standard deviation of vehicle speed? [Note: The resulting values should agree with those given in the cited article.]
  2. What is the probability that a randomly selected vehicle’s speed is between 50 and 65 m/h?
  3. What is the probability that a randomly selected vehicle’s speed exceeds the speed limit of 70 m/h?
 
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