A process that manufactures piston rings produces rings whose diameters (in centimeters) vary according to the probability density function S3[1 – 16(x – 10)²] S(x) = 30 9.75
A process that manufactures piston rings produces rings whose diameters (in centimeters) vary according to the probability density function S3[1 – 16(x – 10)²] S(x) = 30 9.75
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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![A process that manufactures piston rings produces rings whose diameters (in centimeters)
vary according to the probability density function
S3[1 – 16(x – 10)²]
S(x) = 30
9.75<x< 10.25
otherwise
Find the mean diameter of rings manufactured by this process.
a.
b.
Find the standard deviation of the diameters of rings manufactured by this process.
(Hint: Equation 2.38 may be easier to use than Equation 2.39.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd04105eb-3b76-477c-8bae-40695bd94079%2F5981f702-9f7e-48a3-93e5-4c88bbbaf4a2%2Fi25qja6.png&w=3840&q=75)
Transcribed Image Text:A process that manufactures piston rings produces rings whose diameters (in centimeters)
vary according to the probability density function
S3[1 – 16(x – 10)²]
S(x) = 30
9.75<x< 10.25
otherwise
Find the mean diameter of rings manufactured by this process.
a.
b.
Find the standard deviation of the diameters of rings manufactured by this process.
(Hint: Equation 2.38 may be easier to use than Equation 2.39.)

Transcribed Image Text:Find the cumulative distribution function of piston ring diameters.
C.
d.
What proportion of piston rings have diameters less than 9.75 cm?
e.
What proportion of piston rings have diameters between 9.75 and 10.25 cm?
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