The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 12. Suppose that 6 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 T? ~ 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 64.8 and 71.7. d. For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 64.8 and 71.7.
The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 12. Suppose that 6 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 T? ~ 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 64.8 and 71.7. d. For the 6 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 64.8 and 71.7.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![The average number of miles (in thousands) that a car's tire will function before
needing replacement is 68 and the standard deviation is 12. Suppose that 6
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 T?
~ 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
64.8 and 71.7.
d. For the 6 tires tested, find the probability that the average miles (in
thousands) before need of replacement is between 64.8 and 71.7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9aef7202-c77d-4df3-b5b5-207280c2ef34%2F8f2f4897-7f04-43be-b76f-5b2a571a69dc%2F1jyyzr.png&w=3840&q=75)
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before
needing replacement is 68 and the standard deviation is 12. Suppose that 6
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 T?
~ 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
64.8 and 71.7.
d. For the 6 tires tested, find the probability that the average miles (in
thousands) before need of replacement is between 64.8 and 71.7.
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