allures of a certain type of computer hard drive, it is determined that in 20% o
ID: 3070036 • Letter: A
Question
allures of a certain type of computer hard drive, it is determined that in 20% of them of them only nonessential ases both the allocation sector and one or more nonessential only the sector containing the file allocation table is damaged. in 70% sectors are damaged, and in 10% of the c sectors are damaged. A failed drive is selected at random and examined. 1) What is the probability that the allocation sector is damaged? 2) What is the probability that a nonessential sector is damaged? 3) If the drive is found to have a damaged allocation sector, what is the probability that some nonessential 4) sectors are damaged as well? 5) If the drive is found to have a damaged nonessential sector, what is the probability that the 6) If the drive is found to have a damaged allocation sector, what is the probability that no 7) If the drive is found to have a damaged nonessential sector, what is the probability that the allocation sector is damaged as well? nonessential sectors are damaged? allocation sector is not damaged?Explanation / Answer
1)
P(allocation section damaged)=P(case where only allocation section damaged)+P(cases where both allocation section and file allocation table damaged)=0.20+0.10=0.30
2)
P(non-essential section damaged)=0.70+0.10=0.80
3)
P(non-essential section damaged|allocation section damaged)
=P( both allocation section and file allocation table damaged)/P(allocation section damaged)
=0.1/0.2=0.5
5)
P(allocation section damaged|non-essential section damaged)=0.1/0.7 =0.142857
6)
P(no non-essential section damaged|allocation section damaged)
=1-P(non-essential section damaged|allocation section damaged)=1-0.5 =0.5
7)
P(allocation section not damaged|non-essential section damaged)
=1-P(allocation section damaged|non-essential section damaged)=1-0.142857 =0.857143
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