Please solve qo no 7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve qo no 7
![-35
.82 1
R =
- .35
1.0
-.60
.82
-,60
1.0
i)
Interpret the sample correlation coefficients
Calculate the partial correlation coefficient r
= -.35 and r.
ii)
and interpret this
respect to the interpretation provided for r
in Part (i).
7. Consider the two data sets
[1
X, =
2
47
and
[3
47
9.
for which
[2]
[37
%3D
and
[1
17
pooled
i)
Calculate the linear discriminant function.
ii)
Classify the observation x = [2, 7] as population , or population
and equal costs.
8.
A single repairperson looks after the twó machines 1 and 2. Each time it is repaired,
exponential time with rate 2, ; where i 1, 2. When machine i fails, it requires an e
amount of work with rate u, to complete its repair. The repairperson will always ser
is down. For instance, if machine 1 fails while 2 is being repaired, then the repairper
work on machine 2 and start on 1.
(i) Write down all the states.
(ii) What is the probability that the machine 2 is down.
a Let x have covariance matrix
Г 16
- 2
4.
- 2
1
4.
1
25
1/2
i)
Determine
and v](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf1ef526-80de-43ba-9595-dc1e4beb9979%2F4aba3765-dac6-4c47-a682-892762c6022c%2Fq1eaujm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-35
.82 1
R =
- .35
1.0
-.60
.82
-,60
1.0
i)
Interpret the sample correlation coefficients
Calculate the partial correlation coefficient r
= -.35 and r.
ii)
and interpret this
respect to the interpretation provided for r
in Part (i).
7. Consider the two data sets
[1
X, =
2
47
and
[3
47
9.
for which
[2]
[37
%3D
and
[1
17
pooled
i)
Calculate the linear discriminant function.
ii)
Classify the observation x = [2, 7] as population , or population
and equal costs.
8.
A single repairperson looks after the twó machines 1 and 2. Each time it is repaired,
exponential time with rate 2, ; where i 1, 2. When machine i fails, it requires an e
amount of work with rate u, to complete its repair. The repairperson will always ser
is down. For instance, if machine 1 fails while 2 is being repaired, then the repairper
work on machine 2 and start on 1.
(i) Write down all the states.
(ii) What is the probability that the machine 2 is down.
a Let x have covariance matrix
Г 16
- 2
4.
- 2
1
4.
1
25
1/2
i)
Determine
and v
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