SOLUTION: CONSTRUCT A PROBABILITY DISTRIBUTION OF THE SUM ON THE FACES WHEN TWO DICE ARE ROLLED. find the mean variance, and standard deviation of the distribultion.

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Question 372654: CONSTRUCT A PROBABILITY DISTRIBUTION OF THE SUM ON THE FACES WHEN TWO DICE ARE ROLLED. find the mean variance, and standard deviation of the distribultion.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at all of the possible outcomes (6%5E2=36 total) and the sum
1%2B%091=%092
1%2B%092=%093
1%2B%093=%094
1%2B%094=%095
1%2B%095=%096
1%2B%096=%097
2%2B%091=%093
2%2B%092=%094
2%2B%093=%095
2%2B%094=%096
2%2B%095=%097
2%2B%096=%098
3%2B%091=%094
3%2B%092=%095
3%2B%093=%096
3%2B%094=%097
3%2B%095=%098
3%2B%096=%099
4%2B%091=%095
4%2B%092=%096
4%2B%093=%097
4%2B%094=%098
4%2B%095=%099
4%2B%096=%0910
5%2B%091=%096
5%2B%092=%097
5%2B%093=%098
5%2B%094=%099
5%2B%095=%0910
5%2B%096=%0911
6%2B%091=%097
6%2B%092=%098
6%2B%093=%099
6%2B%094=%0910
6%2B%095=%0911
6%2B%096=%0912
Now find the number of outcomes for each sum from 2 to 12.
x,P%28x%29
2,1%2F36
3,2%2F36
4,3%2F36
5,4%2F36
6,5%2F36
7,6%2F36
8,5%2F36
9,4%2F36
10,3%2F36
11,2%2F36
12,1%2F36
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Mean

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Variance
VAR=sum%28%28x-mu%29%5E2%2AP%28x%29%29=highlight%2835%2F6%29
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Standard Deviation
sigma=sqrt%28VAR%29=sqrt%2835%2F6%29=highlight%28sqrt%28210%29%2F6%29
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