MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 72
and the standard deviation is 19. Suppose that 12 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 72
381
b. What is the distribution of z? I - N 72
c. If a randomly selected individual tire is tested, find the probability that the number of miles (in
30.833
thousands) before it will need replacement is between 74.5 and 77.4. 0.0588
d. For the 12 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 74.5 and 77.4.
e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 72 and the standard deviation is 19. Suppose that 12 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 72 381 b. What is the distribution of z? I - N 72 c. If a randomly selected individual tire is tested, find the probability that the number of miles (in 30.833 thousands) before it will need replacement is between 74.5 and 77.4. 0.0588 d. For the 12 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 74.5 and 77.4. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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