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The probability density function of the length of a metal

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 11E Chapter 4.2

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 11E

Problem 11E

The probability density function of the length of a metal rod is f (x) = 2 for 2.3 < x < 2.8 meters.

(a) If the specifications for this process are from 2.25 to 2.75 meters, what proportion of rods fail to meet the specifications?

(b) Assume that the probability density function is f (x) = 2 for an interval of length 0.5 meters. Over what value should the density be centered to achieve the greatest proportion of rods within specifications?

Step-by-Step Solution:

Solution:

Step 1 of 3:

It is given that X denotes the length of metal rod and has the density function f(x)=2;2.3<x<2.8 meters.

Using this we need to find the required values.


Step 2 of 3

Chapter 4.2, Problem 11E is Solved
Step 3 of 3

Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

This full solution covers the following key subjects: Density, specifications, meters, Probability, proportion. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. Since the solution to 11E from 4.2 chapter was answered, more than 834 students have viewed the full step-by-step answer. The answer to “The probability density function of the length of a metal rod is f (x) = 2 for 2.3 < x < 2.8 meters.(a) If the specifications for this process are from 2.25 to 2.75 meters, what proportion of rods fail to meet the specifications?(b) Assume that the probability density function is f (x) = 2 for an interval of length 0.5 meters. Over what value should the density be centered to achieve the greatest proportion of rods within specifications?” is broken down into a number of easy to follow steps, and 79 words. The full step-by-step solution to problem: 11E from chapter: 4.2 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6.

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