1. 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?
1. 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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![1. 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.
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?
2. A system consists of four components connected as shown in the following diagram:
A
C
O
B
Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05,
0.10, and 0.20, respectively, what is the probability that the system functions?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe482260c-a481-4036-b56b-ba1151b84d9b%2F49604d7a-92e6-4736-9a6e-5594ac481eb4%2Fafjbrg_processed.png&w=3840&q=75)
Transcribed Image Text:1. 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.
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?
2. A system consists of four components connected as shown in the following diagram:
A
C
O
B
Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.10, 0.05,
0.10, and 0.20, respectively, what is the probability that the system functions?
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