The image presents a statistical problem based on the average number of miles (in thousands) that a car's tire will function before needing replacement, which is 66 with a standard deviation of 19. It involves 49 randomly selected tires and assumes a normal distribution. The tasks are as follows:a. Determine the distribution of \( X \). - \( X \sim N(\text{\_\_\_\_\_}, \text{\_\_\_\_\_}) \)b. Determine the distribution of \( \overline{X} \). - \( \overline{X} \sim N(\text{\_\_\_\_\_}, \text{\_\_\_\_\_}) \)c. For a randomly selected individual tire, calculate the probability that the number of miles (in thousands) before it needs replacement is between 64 and 66.2. - [Provide space for numerical answer]d. For the 49 tires tested, compute the probability that the average miles (in thousands) before needing replacement is between 64 and 66.2. - [Provide space for numerical answer]e. Assess whether the assumption that the distribution is normal is necessary for part d. - Yes [ ] No [ ]The question is structured to reinforce understanding of normal distribution and sampling distribution concepts.

We have given that. X~N( μ , ?^2 ) μ = 66 , ? = 19 , n= 49 Z-score =( x - μ )/?…

Answered: replacement is 66 and the standard…

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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