The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 16. Suppose that 14 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 71.2 and 74.9.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 66
and the standard deviation is 16. Suppose that 14 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 I? - 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 71.2 and 74.9.
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 16. Suppose that 14 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 I? - 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 71.2 and 74.9.
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The average number of miles (in thousands) that a car's tire will function before needing replacement is 66
and the standard deviation is 16. Suppose that 14 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 66 and the standard deviation is 16. Suppose that 14 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.
d. For the 14 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 71.2 and 74.9.
Transcribed Image Text:d. For the 14 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 71.2 and 74.9.
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