Of all failures of a certain type of computer hard drive, it is determined that in 14% of them only the sector containing the file allocation table is damaged, in 74% of them only nonessential sectors are damaged, and in 12% 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?
Of all failures of a certain type of computer hard drive, it is determined that in 14% of them only
the sector containing the file allocation table is damaged, in 74% of them only nonessential sectors
are damaged, and in 12% 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
(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?
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