The average number of miles (in thousands) that a car's tire will function before needing replacement is 65 and the standard deviation is 13. Suppose that 50 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( 65 13 b. What is the distribution of ? N( 65 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 64.2 and 66.8. d. For the 50 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 64.2 and 66.8. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
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Answer C D and E
From the provided information,
Mean (µ) = 65
Standard deviation (σ) = 13
X~N (65, 13)
c)
If a randomly selected individual tire is tested the probability that the number of miles (in thousands) before it will need replacement is between 64.2 and 66.8 can be obtained as:
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