Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) 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.
Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) 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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![**Vehicle Speed Analysis on a Bridge in China**
Vehicle speed on a particular bridge in China can be modeled as normally distributed.
**(a)** If 5% of all vehicles travel less than **39.15 m/h** and 10% travel more than **73.23 m/h**, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.)
- Mean: [Input Box]
- Standard Deviation: [Input Box]
**(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.)
- [Input Box]
**(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.)
- [Input Box]
You may need to use the appropriate table in the [Appendix of Tables](#) to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76fb667-0622-451e-86fc-d3866765f8e5%2Fdc784aaf-b6a5-4cae-a142-559e3a320947%2Fsek5ud_processed.png&w=3840&q=75)
Transcribed Image Text:**Vehicle Speed Analysis on a Bridge in China**
Vehicle speed on a particular bridge in China can be modeled as normally distributed.
**(a)** If 5% of all vehicles travel less than **39.15 m/h** and 10% travel more than **73.23 m/h**, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.)
- Mean: [Input Box]
- Standard Deviation: [Input Box]
**(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.)
- [Input Box]
**(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.)
- [Input Box]
You may need to use the appropriate table in the [Appendix of Tables](#) to answer this question.
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Step 1: Write the given information.
VIEWStep 2: Determine the mean and standard deviation of the vehicle speed.
VIEWStep 3: Determine the probability that a randomly selected vehicle's speed is between 50 and 65 m/hr.
VIEWStep 4: Determine the probability that a randomly selected vehicle's speed exceeds 70 m/h.
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