The mean values of both x and y are 1. However, the probability distribution for the second supplier is concentrated closer to the mean value than is the first supplier's distribution. If the manufacturer wanted to select a single supplier for glass panels, which of these two suppliers would you recommend? Justify your choice based on consideration of both center and variability. O The two suppliers are equal in terms of center, however the the greater variability in the first distribution tells us that it is more consistent. Thus the first supplier should be recommended. The two suppliers are equal in terms of center, however the greater variability in the first distribution tells us that it is less consistent. Thus the second supplier should be recommended. The two suppliers are equal in terms of center, however the the greater variability in the second distribution tells us that it is less consistent. Thus the second supplier should be recommended. O The two suppliers are equal in terms of center, however the the greater variability in the second distribution tells us that it is more consistent. Thus the first supplier should be recommended.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Flat screen TVs require high quality glass with very few flaws. A television manufacturer receives glass panels from two different suppliers. Let x and y denote the number of flaws in a randomly selected glass panel from the first and second suppliers, respectively.
Suppose that the probability distributions for x and y are as follows.
1
2
3
4
p(x)
0.4
0.3
0.2
0.1
y
1
2
3
4
P(y)
0.2
0.6
0.2
The mean values of both x and y are 1. However, the probability distribution for the second supplier is concentrated closer to the mean value than is the first supplier's distribution.
If the manufacturer wanted to select a single supplier for glass panels, which of these two suppliers would you recommend? Justify your choice based on consideration of both center and variability.
O The two suppliers are equal in terms of center, however the the greater variability in the first distribution tells us that it is more consistent. Thus the first supplier should be recommended.
O The two suppliers are equal in terms of center, however the greater variability in the first distribution tells us that it is less consistent. Thus the second supplier should be recommended.
O The two suppliers are equal in terms of center, however the the greater variability in the second distribution tells us that it is less consistent. Thus the second supplier should be recommended.
O The two suppliers are equal in terms of center, however the the greater variability in the second distribution tells us that it is more consistent. Thus the first supplier should be recommended.
Transcribed Image Text:Flat screen TVs require high quality glass with very few flaws. A television manufacturer receives glass panels from two different suppliers. Let x and y denote the number of flaws in a randomly selected glass panel from the first and second suppliers, respectively. Suppose that the probability distributions for x and y are as follows. 1 2 3 4 p(x) 0.4 0.3 0.2 0.1 y 1 2 3 4 P(y) 0.2 0.6 0.2 The mean values of both x and y are 1. However, the probability distribution for the second supplier is concentrated closer to the mean value than is the first supplier's distribution. If the manufacturer wanted to select a single supplier for glass panels, which of these two suppliers would you recommend? Justify your choice based on consideration of both center and variability. O The two suppliers are equal in terms of center, however the the greater variability in the first distribution tells us that it is more consistent. Thus the first supplier should be recommended. O The two suppliers are equal in terms of center, however the greater variability in the first distribution tells us that it is less consistent. Thus the second supplier should be recommended. O The two suppliers are equal in terms of center, however the the greater variability in the second distribution tells us that it is less consistent. Thus the second supplier should be recommended. O The two suppliers are equal in terms of center, however the the greater variability in the second distribution tells us that it is more consistent. Thus the first supplier should be recommended.
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