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-169. An optical storage device uses an error recovery procedure that requires a

ID: 3075033 • Letter: #

Question

-169. 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 0.96. Assume the readbacks are independent. What is the prob- ability that an acceptable portion of the disk is eliminated as unacceptable for data storage?

Explanation / Answer

On an acceptable portion of the disk, the probability of a satisfactory readback is 0.96. Thus, on an acceptable portion of the disk, the probability of a non satisfactory readback is 1-0.96=0.04.

Hence, the exact probability that an acceptable portion of the disk is eliminated as unacceptable for data storage is:

0.04*0.04*0.04=0.000064