Of all failures of a certain type of computer hard drive, it is determined that in 20%

Chapter 2, Problem 10

(choose chapter or problem)

Of all failures of a certain type of computer hard drive, it is determined that in \(20 \%\) of them only the sector containing the file allocation table is damaged, in \(70 \%\) of them only nonessential sectors are damaged, and in \(10 \%\) of the cases both the allocation sector and one or more nonessential sectors are damaged. A failed drive is selected at random and examined.

a. What is the probability that the allocation sector is damaged?

b. What is the probability that a nonessential sector is damaged?

c. If the drive is found to have a damaged allocation sector, what is the probability that some nonessential sectors are damaged as well?

d. If the drive is found to have a damaged nonessential sector, what is the probability that the allocation sector is damaged as well?

e. If the drive is found to have a damaged allocation sector, what is the probability that no nonessential sectors are damaged?

f. If the drive is found to have a damaged nonessential sector, what is the probability that the allocation sector is not damaged?

Equation Transcription:

Text Transcription:

20%

70%

10%

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