The average number of miles (in thousands) that a car's tire will function before needing replacement is 73 and the standard deviation is 17. Suppose that 15 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 ? - 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 71.6 and 78.1.
The average number of miles (in thousands) that a car's tire will function before needing replacement is 73 and the standard deviation is 17. Suppose that 15 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 ? - 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 71.6 and 78.1.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 73
and the standard deviation is 17. Suppose that 15 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 ? - 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 71.6 and 78.1.
d. For the 15 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 71.6 and 78.1.
e. For part d), is the assumption that the distribution is normal necessary? O Yes No
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