The average number of miles (in thousands) that a car's tire will function before needing replacement is 71 and the standard deviation is 16. Suppose that 43 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)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 68.8 and 71.For the 43 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 68.8 and 71.For part d), is the assumption that the distribution is normal necessary? NoYes

Answered: What is the distribution of XX? XX ~…

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 71 and the standard deviation is 16. Suppose that 43 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
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 68.8 and 71.
For the 43 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 68.8 and 71.
For part d), is the assumption that the distribution is normal necessary? NoYes

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