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Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 5.3 - Problem 55e
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 5.3 - Problem 55e

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# In the manufacture of electroluminescent lamps, several

ISBN: 9781118539712 55

## Solution for problem 55E Chapter 5.3

Applied Statistics and Probability for Engineers | 6th Edition

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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

Step 3 of 4

##### 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.

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