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

Chapter 4, Problem 43

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Vehicle speed on a particular bridge in China can bemodeled as normally distributed (Fatigue ReliabilityAssessment for LongSpan Bridges under CombinedDynamic Loads from Winds and Vehicles, J. ofBridge Engr., 2013: 735747).a. If 5% of all vehicles travel less than 39.12 m/h and10% travel more than 73.24 m/h, what are the meanand standard deviation of vehicle speed? [Note: Theresulting values should agree with those given in thecited article.]b. What is the probability that a randomly selected vehiclesspeed is between 50 and 65 m/h?c. What is the probability that a randomly selected vehiclesspeed exceeds the speed limit of 70 m/h?

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