ehicle speed on a particular bridge in China can be modeled as normally distributed.   (a) If 5% of all vehicles travel less than 39.17 m/h and 10% travel more than 73.22 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.)   (b)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Vehicle speed on a particular bridge in China can be modeled as normally distributed.
 
(a)
If 5% of all vehicles travel less than 39.17 m/h and 10% travel more than 73.22 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.)
 
(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.)
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