a 110 Distribution. a. What is the distribution of X? X-NO 68 b. What is the distribution of ?T-NO 68 ✓,1.9379 o o 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 67.5 and 70.2.0.1692 X d. For the 45 tires tested, find the probability that the average miles (in thousandr) bofora ✓13 0 0

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Cloudy
The average number of miles (in thousands) that a car's tire will function before needing replacement is 68
and the standard deviation is 13. Suppose that 45 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-NO 68
b. What is the distribution of ? IN 68
✓1.9379
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 67.5 and 70.2. 0.1692
d. For the 45 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 67.5 and 70.2. 0.0812
X
e. For part d), is the assumption that the distribution is normal necessary? No Yes o
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Transcribed Image Text:Cloudy The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 13. Suppose that 45 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-NO 68 b. What is the distribution of ? IN 68 ✓1.9379 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 67.5 and 70.2. 0.1692 d. For the 45 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 67.5 and 70.2. 0.0812 X e. For part d), is the assumption that the distribution is normal necessary? No Yes o Question Help: Submit Question R Written Example Message instructor Jump to Answer ▬▬ 5 Q Search T G ^ 6 B 4- & H 7 13 b 4+ 8 OO 1 N M 9 K O P prt sc
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