×
Log in to StudySoup
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 5.3 - Problem 55e
Join StudySoup for FREE
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 5.3 - Problem 55e

Already have an account? Login here
×
Reset your password

In the manufacture of electroluminescent lamps, several

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

Solution for problem 55E Chapter 5.3

Applied Statistics and Probability for Engineers | 6th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
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

4 5 1 368 Reviews
23
1
Problem 55E

Problem 55E

In the manufacture of electroluminescent lamps, several different layers of ink are deposited onto a plastic substrate. The thickness of these layers is critical if specifications regarding the final color and intensity of light are to be met. Let X and Y denote the thickness of two different layers of ink. It is known that X is normally distributed with a mean of 0.1 millimeter and a standard deviation of 0.00031 millimeter, and Y is normally distributed with a mean of 0.23 millimeter and a standard deviation of 0.00017 millimeter. The value of ◊◊for these variables is equal to 0. Specifications call for a lamp to have a thickness of the ink corresponding to X in the range of 0.099535 to 0.100465 millimeter and Y in the range of 0.22966 to 0.23034 millimeter. What is the probability that a randomly selected lamp will conform to specifications?

Step-by-Step Solution:

Solution:

Step 1 of 4:

Let X and Y denote the thickness of two different layers of ink.

Here X is normally distributed with a mean of 0.1 millimeter and a standard deviation of 0.00031 millimeter.

And Y is normally distributed with a mean of 0.23 millimeter and a standard deviation

 of 0.00017 millimeter.

The specification limit for a lamp to have a thickness of the ink corresponding to X in the range 0.099535 to 0.100465 millimeter, and Y in the range of 0.22966 to 0.23034 millimeter.

The correlation between these variables is zero.

We have to find the probability that a randomly selected lamp will conform to specification.


Step 2 of 4

Chapter 5.3, Problem 55E is Solved
Step 3 of 4

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: millimeter, ink, thickness, layers, specifications. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. Since the solution to 55E from 5.3 chapter was answered, more than 704 students have viewed the full step-by-step answer. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. The answer to “In the manufacture of electroluminescent lamps, several different layers of ink are deposited onto a plastic substrate. The thickness of these layers is critical if specifications regarding the final color and intensity of light are to be met. Let X and Y denote the thickness of two different layers of ink. It is known that X is normally distributed with a mean of 0.1 millimeter and a standard deviation of 0.00031 millimeter, and Y is normally distributed with a mean of 0.23 millimeter and a standard deviation of 0.00017 millimeter. The value of ??for these variables is equal to 0. Specifications call for a lamp to have a thickness of the ink corresponding to X in the range of 0.099535 to 0.100465 millimeter and Y in the range of 0.22966 to 0.23034 millimeter. What is the probability that a randomly selected lamp will conform to specifications?” is broken down into a number of easy to follow steps, and 146 words. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. The full step-by-step solution to problem: 55E from chapter: 5.3 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

In the manufacture of electroluminescent lamps, several