The average number of miles (in thousands) that a car's tire will function before needing replacement is 67 and the standard deviation is 19. Suppose that 47 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.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 63 and 66.4. ?For the 47 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 63 and 66.4?

given data μ=67σ=19n=47normal distribution

Answered: The average number of miles (in…

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

Section13.3: Special Probability Density Functions

Problem 7E

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The average number of miles (in thousands) that a car's tire will function before needing replacement is 67 and the standard deviation is 19. Suppose that 47 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution.

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 63 and 66.4. ?
For the 47 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 63 and 66.4?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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