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
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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
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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