a randomly dividual tested, probability thousands) before it will need replacement is between 66.1 and 67.6. d. For the 45 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 66.1 and 67.6. e. For part d), is the assumption that the distribution is normal necessary? No Yes

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 12. Suppose that 45 randomly selected tires are tested. Round all answers to
4 decimal places where possible and assume a normal distribution.
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 12. Suppose that 45 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.
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 66.1 and 67.6.
d. For the 45 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 66.1 and 67.6.
e. For part d), is the assumption that the distribution is normal necessary? O No Yes
Transcribed Image Text: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 66.1 and 67.6. d. For the 45 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 66.1 and 67.6. e. For part d), is the assumption that the distribution is normal necessary? O No Yes
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