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<p><strong>Quality Control</strong></p> <p>A quality inspector cheched for imperfection in rolls of fabric for one week. The random variable x represents the number of imperfections found. Decide whether the distribution is a probability distribution. If it is not a probability distribution, identify the property (or properties) that are not satisfied.</p> <table style="border-color: #0404fa; border-width: 2px;" border="2" frame="border" rules="all" cellspacing="2" cellpadding="2" align="center"> <tbody> <tr> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»1«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»4«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«/math»</td> </tr> <tr> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»3«/mn»«mn»4«/mn»«/mfrac»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»10«/mn»«/mfrac»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»20«/mn»«/mfrac»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»25«/mn»«/mfrac»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»50«/mn»«/mfrac»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mfrac»«mn»1«/mn»«mn»100«/mn»«/mfrac»«/math»</td> </tr> </tbody> </table> <p> </p> <p> </p> <p> </p>
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Choice 1
Answer
<p>Yes, the distribution represents a probability distribution.</p>
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 2
Answer
<p>No, the distribution does not represnt a probability distribution.</p>
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 3
Answer
<p>The summation of the probabilities of the random variables is not equal to 1</p>
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 4
Answer
<p>One of the probabilities of the random variables is less than 0 or greater than 1</p>
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 5
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 6
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 7
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
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100%
50%
33.33333%
25%
20%
10%
0%
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Tuesday, 5 November 2013, 10:15 AM
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on
Tuesday, 5 November 2013, 10:15 AM
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