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A process that manufactures piston rings produces rings

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 16E Chapter 2.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 16E

A process that manufactures piston rings produces rings whose diameters (in centimeters) vary according to the probability density function

a. Find the mean diameter of rings manufactured by this process.

b. Find the standard deviation of the diameters of rings manufactured by this process. (Hint: Equation 2.36 may be easier to use than Equation 2.37.)

c. Find the cumulative distribution function of piston ring diameters.

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?

Step-by-Step Solution:

Answer:

Step 1 of 6:

              Given the probability density function is

                   

                       


Step 2 of 6

Chapter 2.4, Problem 16E is Solved
Step 3 of 6

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

The full step-by-step solution to problem: 16E from chapter: 2.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: Rings, diameters, piston, process, Find. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “A process that manufactures piston rings produces rings whose diameters (in centimeters) vary according to the probability density function a. Find the mean diameter of rings manufactured by this process.________________b. Find the standard deviation of the diameters of rings manufactured by this process. (Hint: Equation 2.36 may be easier to use than Equation 2.37.)________________c. Find the cumulative distribution function of piston ring diameters.________________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?” is broken down into a number of easy to follow steps, and 86 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since the solution to 16E from 2.4 chapter was answered, more than 1541 students have viewed the full step-by-step answer.

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A process that manufactures piston rings produces rings