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Of all failures of a certain type of computer hard drive,
Chapter 2, Problem 10E(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?
Questions & Answers
QUESTION:
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?
ANSWER:Step 1 of 8
It is given that a computer hard drive consists of two sectors, the sector containing the file allocation table and the nonessential sector.
Also, it is given that in 20% of failed hard drives, only the sector containing the file allocation table is damaged, in 70% of the failed hard drives only the nonessential sectors are damaged and in 10% of the failed hard drives both the allocation sectors and nonessential sectors are damaged.
Let us define event A as the sector containing the file allocation table is damaged and event B as the nonessential sector is damaged.
A randomly chosen drive is examined.
Using all these we have to find the required probabilities.