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The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of a? - N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of a? - N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of x? ¤ ~ N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 69 and the standard deviation is 13. Suppose that 16 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of x? ¤ ~ N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 70.8 and 72.7. d. For the 16 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 70.8 and 72.7. e. For part d), is the assumption that the distribution is normal necessary? O YesO No
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