Ble 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 67 and 70.

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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 73
and the standard deviation is 20. Suppose that 17 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 67 and 70.
d. For the 17 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 67 and 70.
e. For part d), is the assumption that the distribution is normal necessary? O Yes No
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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 20. Suppose that 17 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 67 and 70. d. For the 17 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 67 and 70. e. For part d), is the assumption that the distribution is normal necessary? O Yes No Question Help: Written Example Message instructor Submit Question Jump to Answer 13 44.417 APR tv 17
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