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An optical storage device uses an error recovery procedure

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

Solution for problem 197SE Chapter 2.8

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 197SE

Problem 197SE

An optical storage device uses an error recovery procedure that requires an immediate satisfactory readback of any written data. If the readback is not successful after three writing operations, that sector of the disk is eliminated as unacceptable for data storage. On an acceptable portion of the disk, the probability of a satisfactory readback is 0.98. Assume the readbacks are independent. What is the probability that an acceptable portion of the disk is eliminated as unacceptable for data storage?

Step-by-Step Solution:

Solution

Step 1 of 1

We have to find the probability of the disk is eliminated as a unacceptable for storage

Given that the sector will be eliminated if the read back is not successful for 3 operations

The probability of satisfactory readback is 0.98

Let A be the event that 1st time is not satisfactory readback

Then

                   =0.02

Let B be the event that 2nd time is not satisfactory readback

Then

                   =0.02

Let C be the event that 3rd time is not satisfactory readback

Then

                   =0.02

The three events A, B and C are independent

Then  

         =

         =

         =

         =

         =

         =0.000008

 Hence the probability of the disk is eliminated as a unacceptable for storage is 0.000008


Step 2 of 1

Chapter 2.8, Problem 197SE is Solved
Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

The answer to “An optical storage device uses an error recovery procedure that requires an immediate satisfactory readback of any written data. If the readback is not successful after three writing operations, that sector of the disk is eliminated as unacceptable for data storage. On an acceptable portion of the disk, the probability of a satisfactory readback is 0.98. Assume the readbacks are independent. What is the probability that an acceptable portion of the disk is eliminated as unacceptable for data storage?” is broken down into a number of easy to follow steps, and 79 words. The full step-by-step solution to problem: 197SE from chapter: 2.8 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. This full solution covers the following key subjects: storage, readback, disk, data, satisfactory. 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 197SE from 2.8 chapter was answered, more than 696 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6.

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An optical storage device uses an error recovery procedure