Of all failures of a certain type of computer hard drive, it is determined that in 15% of them only the sector containing the file allocation table is damaged (F), in 65% of them only nonessential sectors are damaged(S), and in 20% of the case, both the allocation sector and one or more nonessential sectors are damaged. A failed drive is selected at random and examined. a) Represent this information in a Venn diagram. b) Given that the drive has damaged file allocation sector, i. What is the probability that some nonessential sectors are damaged as well? ii. What is the probability that no nonessential sectors are damaged? c) Given that the drive has a damaged nonessential sector, i. What is the probability that the file allocation sector is damaged as well?

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Of all failures of a certain type of computer hard drive, it is determined that in
15% of them only the sector containing the file allocation table is damaged (F), in
65% of them only nonessential sectors are damaged(S), and in 20% of the case,
both the allocation sector and one or more nonessential sectors are damaged. A
failed drive is selected at random and examined.
a) Represent this information in a Venn diagram.
b) Given that the drive has damaged file allocation sector,
i. What is the probability that some nonessential sectors are
damaged as well?
ii. What is the probability that no nonessential sectors are damaged?
c) Given that the drive has a damaged nonessential sector,
i.
What is the probability that the file allocation sector is damaged
as well?
Transcribed Image Text:Of all failures of a certain type of computer hard drive, it is determined that in 15% of them only the sector containing the file allocation table is damaged (F), in 65% of them only nonessential sectors are damaged(S), and in 20% of the case, both the allocation sector and one or more nonessential sectors are damaged. A failed drive is selected at random and examined. a) Represent this information in a Venn diagram. b) Given that the drive has damaged file allocation sector, i. What is the probability that some nonessential sectors are damaged as well? ii. What is the probability that no nonessential sectors are damaged? c) Given that the drive has a damaged nonessential sector, i. What is the probability that the file allocation sector is damaged as well?
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