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<p><strong>Tires</strong></p> <p>A mechanic check the tire pressures on each car that he worked on for one week. The random variable x represents the number of tires that were underinflated. 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: #1703fb; border-width: 2px;" border="2" frame="border" cellspacing="2" cellpadding="2" align="center"> <tbody> <tr> <td style="text-align: center;"><em><strong><span style="font-size: small;">x</span></strong></em></td> <td style="text-align: center;"><span style="font-size: small;">0</span></td> <td style="text-align: center;"><span style="font-size: small;">1</span></td> <td style="text-align: center;"><span style="font-size: small;">2</span></td> <td style="text-align: center;"><span style="font-size: small;">3</span></td> <td style="text-align: center;"><span style="font-size: small;">4</span></td> </tr> <tr> <td style="text-align: center;"><em><strong><span style="font-size: small;">P(x)</span></strong></em></td> <td style="text-align: center;"><span style="font-size: small;">0.30</span></td> <td style="text-align: center;"><span style="font-size: small;">0.25</span></td> <td style="text-align: center;"><span style="font-size: small;">0.25</span></td> <td style="text-align: center;"><span style="font-size: small;">0.15</span></td> <td style="text-align: center;"><span style="font-size: small;">0.05</span></td> </tr> </tbody> </table>
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Choice 1
Answer
<p>Yes, the distribution is 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 is not 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 sumation of the random variable probabilities 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 random variable probabilities 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
Combined feedback
For any correct response
For any partially correct response
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Penalty for each incorrect try
100%
50%
33.33333%
25%
20%
10%
0%
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Created / last saved
Created
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Admin User
on
Tuesday, 5 November 2013, 10:15 AM
Last saved
by
Admin User
on
Tuesday, 5 November 2013, 10:15 AM
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