The finished inside diameter of a piston ring is normally distributed with a mean of 9 centimeters and a standard deviation of 0.02 centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) What proportion of rings will have inside diameters exceeding 9.048 centimeters? (Round to four decimal places as needed.) (b) What is the probability that a piston ring will have an inside diameter between 8.96 and 9.04 centimeters? (Round to four decimal places as needed.) (c) Below what value of inside diameter will 10% of the piston rings fall? centimeters (Round to three decimal places as needed.)
The finished inside diameter of a piston ring is normally distributed with a mean of 9 centimeters and a standard deviation of 0.02 centimeter. Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) What proportion of rings will have inside diameters exceeding 9.048 centimeters? (Round to four decimal places as needed.) (b) What is the probability that a piston ring will have an inside diameter between 8.96 and 9.04 centimeters? (Round to four decimal places as needed.) (c) Below what value of inside diameter will 10% of the piston rings fall? centimeters (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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- [Click here to view page 2 of the standard normal distribution table.](#)
#### Questions:
**(a) What proportion of rings will have inside diameters exceeding 9.048 centimeters?**
- (Round to four decimal places as needed.)
**(b) What is the probability that a piston ring will have an inside diameter between 8.96 and 9.04 centimeters?**
- (Round to four decimal places as needed.)
**(c) Below what value of inside diameter will 10% of the piston rings fall?**
- __________ centimeters
- (Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f7a11c6-35df-4daf-855c-043e8f69fb75%2Fc6ae72aa-862e-4db1-be90-4071e754c8f6%2Fir70ljg_processed.png&w=3840&q=75)
Transcribed Image Text:### Normal Distribution of Piston Ring Diameters
The finished inside diameter of a piston ring is normally distributed with a mean of 9 centimeters and a standard deviation of 0.02 centimeters. Complete parts (a) through (c) below.
#### References:
- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)
#### Questions:
**(a) What proportion of rings will have inside diameters exceeding 9.048 centimeters?**
- (Round to four decimal places as needed.)
**(b) What is the probability that a piston ring will have an inside diameter between 8.96 and 9.04 centimeters?**
- (Round to four decimal places as needed.)
**(c) Below what value of inside diameter will 10% of the piston rings fall?**
- __________ centimeters
- (Round to three decimal places as needed.)
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