The following table lists all possible samples of size 2, their means () and their probabilities.
Sample | 0,0 | 0,1 | 0,5 | 1,0 | 1,1 | 1,5 | 5,0 | 5,1 | 5,5 |
0 | .5 | 2.5 | .5 | 1 | 3 | 2.5 | 3 | 5 | |
P | 1/9 | 1/9 | 1/9 | 1/9 | 1/9 | 1/9 | 1/9 | 1/9 | 1/9 |
This gives the following sampling distribution:
0 | .5 | 1 | 2.5 | 3 | 5 | |
P( = ) | 1/9 | 2/9 | 1/9 | 2/9 | 2/9 | 1/9 |
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