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The average number of miles (in thousands) that a car's tire will function before needing replacement is 64 and the standard deviation is 18. Suppose that 18 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( 64 b. What is the distribution of ? - N( 64 18 4.2426 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 63.4 and 68.3. 0.1073 * d. For the 18 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 63.4 and 68.3. 0.4002 ✓ e. For part d), is the assumption that the distribution is normal necessary? No Yes

The average number of miles (in thousands) that a car's tire will function before needing replacement is 64 and the standard deviation is 18. Suppose that 18 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( 64 b. What is the distribution of ? - N( 64 18 4.2426 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 63.4 and 68.3. 0.1073 * d. For the 18 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 63.4 and 68.3. 0.4002 ✓ e. For part d), is the assumption that the distribution is normal necessary? No Yes

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 64 and the standard deviation is 18. Suppose that 18 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( 64 b. What is the distribution of ? - N( 64 18 4.2426 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 63.4 and 68.3. 0.1073 * d. For the 18 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 63.4 and 68.3. 0.4002 ✓ e. For part d), is the assumption that the distribution is normal necessary? No Yes
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 64 and the standard deviation is 18. Suppose that 18 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( 64 b. What is the distribution of ? - N( 64 18 4.2426 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 63.4 and 68.3. 0.1073 * d. For the 18 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 63.4 and 68.3. 0.4002 ✓ e. For part d), is the assumption that the distribution is normal necessary? No Yes
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