MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

Answer C D and E 

Question 6 <> <> 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 x? a 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 Submit Question
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Transcribed Image Text:Question 6 <> <> 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 x? a 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 Submit Question
Expert Solution
Check Mark
Step 1

From the provided information,

Mean (µ) = 65

Standard deviation (σ) = 13

X~N (65, 13)

Step 2

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:

Statistics homework question answer, step 2, image 1

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