The average number of miles (in thousands) that a car's tire will function before needing replacement is
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Question:
The average number of miles (in thousands) that a car's tire will function before needing replacement is 64 and the standard deviation is 14. Suppose that 49 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.
- What is the distribution of ? ~ N(,)
- What is the distribution of ? ~ N(,)
- 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 61.4 and 63.
- For the 49 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 61.4 and 63.
- For part d), is the assumption that the distribution is normal necessary? NoYes
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