Question: Let Y1 and Y2 be discrete random variables with the joint probability distribution shown below. Show that Y1 and Y2 are dependent but have zero
Let Y1 and Y2 be discrete random variables with the joint probability distribution shown below. Show that Y1 and Y2 are dependent but have zero covariance.
| y1 | |||
| y2 | -1 | 0 | +1 |
| -1 | 1/16 | 3/16 | 1/16 |
| 0 | 3/16 | 0 | 3/16 |
| +1 | 1/16 | 3/16 | 1/16 |
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