QUESTION 1 Consider the following data that was extracted from a journal 10.2 0.5 5.2 6.1 3.1 6.7 8.9 7.2 8.9 5.4 3.6 9.2 6.1 7.3 2.0 1.3 6.4 8.0 4.3 4.7 12.4 8.6 13.1 3.2 9.5 7.6 4.0 5.1 8.1 1.1 11.5 3.1 6.8 7.0 8.2 2.0 3.1 6.5 11.2 12.0 5.1 10.9 11.2 8.5 2.3 3.4 5.2 10.7 4.9 6.2 11.1 1.6 4.9 6.3 9.1 6.3 5.7 7.1 Comment on the shape of the data based on moments

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QUESTION 1
Consider the following data that was extracted from a journal
10.2 0.5
5.2
6.1
3.1
6.7
8.9
7.2
8.9
5.4
3.6
9.2
6.1
7.3
2.0
1.3
6.4
8.0
4.3
4.7
12.4 8.6
13.1 3.2
9.5
7.6
4.0
5.1
8.1
1.1
11.5
3.1
6.8
7.0
8.2
2.0
3.1
6.5
11.2 12.0 5.1
10.9
11.2
8.5
2.3
3.4
5.2
10.7
4.9
6.2
11.1
1.6
4.9
6.3
9.1
6.3
5.7
7.1
Comment on the shape of the data based on moments
a. A discrete random variable X has the following probability distributions
1
4
p(x)
k
2k
2k
3k
k2
2k2
7k2+ k
i.
Find the value of k
ii.
Find the probability that X is at least 5?
Transcribed Image Text:+ OCILLIL Video Closs-Perelence E Page Number Drop Cap Box - ons Add-ins Media Links Comments Header & Footer QUESTION 1 Consider the following data that was extracted from a journal 10.2 0.5 5.2 6.1 3.1 6.7 8.9 7.2 8.9 5.4 3.6 9.2 6.1 7.3 2.0 1.3 6.4 8.0 4.3 4.7 12.4 8.6 13.1 3.2 9.5 7.6 4.0 5.1 8.1 1.1 11.5 3.1 6.8 7.0 8.2 2.0 3.1 6.5 11.2 12.0 5.1 10.9 11.2 8.5 2.3 3.4 5.2 10.7 4.9 6.2 11.1 1.6 4.9 6.3 9.1 6.3 5.7 7.1 Comment on the shape of the data based on moments a. A discrete random variable X has the following probability distributions 1 4 p(x) k 2k 2k 3k k2 2k2 7k2+ k i. Find the value of k ii. Find the probability that X is at least 5?
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