Question 345412: 1. For this lab assignment, the experiment is to roll a fair die twice. If the random variable x represents the sum of the numbers rolled, find the probability distribution for this random variable.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For this lab assignment, the experiment is to roll a fair die twice. If the random variable x represents the sum of the numbers rolled, find the probability distribution for this random variable.
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Draw the sample space.
Draw a 6x6 square.
Put 1,2,3,4,5,6
along the left edge and along the top.
Put the sum of the row and the column numbers for each box in the square.
You should see something like the following:
2,3,4,5,6,7
3,4,5,6,7,8
4,5,6,7,8,9
....
....
7,8,9,10,11,12
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Note that there are 36 sum entries
P(2) = 1/36
P(3) = 2/36
P(4) = 3/36
....
P(11) = 2/36
P(12) = 1/36
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That is the probability distribution.
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Cheers,
Stan H.
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