The average number of miles (in thousands) that a car's tire will function before needing replacement is 65 and the standard deviation is 17. Suppose that 9 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 65 17 OF OF b. What is the distribution of x? - N( 65 5.6667) or or 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 71.2 and 77.3. 0.1236 X d. For the 9 tires tested, find the probability that the average miles (in thousands) before need of replacement between 71.2 and 77.3. 0.1229 X e. For part d), is the assumption that the distribution is normal necessary? Yes No

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Author:Amos Gilat
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C AND D ONLY PLEASE
The average number of miles (in thousands) that a car's
tire will function before needing replacement is 65 and
the standard deviation is 17. Suppose that 9 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( 65
17
OF OF
b. What is the distribution of x? - N( 65
5.6667) or or
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 71.2 and 77.3. 0.1236
X
d. For the 9 tires tested, find the probability that
the average miles (in thousands) before need of
replacement between 71.2 and 77.3.
0.1229
X
e. For part d), is the assumption that the
distribution is normal necessary? Yes No
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 65 and the standard deviation is 17. Suppose that 9 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( 65 17 OF OF b. What is the distribution of x? - N( 65 5.6667) or or 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 71.2 and 77.3. 0.1236 X d. For the 9 tires tested, find the probability that the average miles (in thousands) before need of replacement between 71.2 and 77.3. 0.1229 X e. For part d), is the assumption that the distribution is normal necessary? Yes No
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