The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 0.98 millimeters. (b) What thickness is exceeded by 90% of the flanges? millimeters (c) Determine the mean and variance of flange thickness. Mean = millimeters Variance = i millimeters² (Round your answer to 6 decimal places.)
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 0.98 millimeters. (b) What thickness is exceeded by 90% of the flanges? millimeters (c) Determine the mean and variance of flange thickness. Mean = millimeters Variance = i millimeters² (Round your answer to 6 decimal places.)
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter20: Ratio And Propor Tion
Section: Chapter Questions
Problem 44A
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![### Uniform Distribution of Flange Thickness on Aircraft Components
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
#### Questions:
**(a) Determine the proportion of flanges that exceeds 0.98 millimeters.**
- Proportion exceeding 0.98 mm:
\[ \boxed{} \]
**(b) What thickness is exceeded by 90% of the flanges?**
- Thickness exceeded by 90% of the flanges:
\[ \boxed{} \] millimeters
**(c) Determine the mean and variance of flange thickness.**
- Mean:
\[ \boxed{} \] millimeters
- Variance:
\[ \boxed{} \] millimeters\(^2\) (Round your answer to 6 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F548b861a-42f3-4cfc-8e03-f464d56fea49%2Fd8aa50d3-1888-49b5-aabc-0cc24a330c26%2Fh9sosuu_processed.png&w=3840&q=75)
Transcribed Image Text:### Uniform Distribution of Flange Thickness on Aircraft Components
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
#### Questions:
**(a) Determine the proportion of flanges that exceeds 0.98 millimeters.**
- Proportion exceeding 0.98 mm:
\[ \boxed{} \]
**(b) What thickness is exceeded by 90% of the flanges?**
- Thickness exceeded by 90% of the flanges:
\[ \boxed{} \] millimeters
**(c) Determine the mean and variance of flange thickness.**
- Mean:
\[ \boxed{} \] millimeters
- Variance:
\[ \boxed{} \] millimeters\(^2\) (Round your answer to 6 decimal places)
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