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Thickness measurements of a coating process are made to

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

Solution for problem 78E Chapter 3.5

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 78E

Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19. Determine the mean and variance of the coating thickness for this process.

Step-by-Step Solution:
Step 1 of 3

Solution 78E

Step1 of 3:

Let us consider a random variable X it presents thickness measurements of a coating process.

And the thickness measurements are Uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19.

We need to determine the mean and variance of X.


Step2 of 3:

Suppose that a random variable X follows discrete Uniform distribution with parameters [a, b]. Then, the probability mass function of Uniform distribution is given by:

 x = 0,1,2,...,n.

We know that mean of Uniform distribution, and it is given by:

 

           

   

Therefore, Mean of X is 0.17 mm.


Step3 of 3:

We know that Variance of Uniform distribution, and it is given by:

       

                 

 

Therefore, Variance of X is 0.0068.


Step 2 of 3

Chapter 3.5, Problem 78E is Solved
Step 3 of 3

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

The full step-by-step solution to problem: 78E from chapter: 3.5 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. The answer to “Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19. Determine the mean and variance of the coating thickness for this process.” is broken down into a number of easy to follow steps, and 41 words. Since the solution to 78E from 3.5 chapter was answered, more than 665 students have viewed the full step-by-step answer. This full solution covers the following key subjects: thickness, process, coating, measurements, millimeter. This expansive textbook survival guide covers 97 chapters, and 2005 solutions.

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