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)

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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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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both questions please. thank you!