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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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