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Required information The General Social Survey asked a sample of adults how many siblings (brothers and sisters) they had ()

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y
x 0 1 2 3 4 Total
0 0.03 0.01 0.02 0.01 0.01 0.08
1 0.09 0.05 0.08 0.03 0.01 0.26
2 0.07 0.05 0.07 0.04 0.02 0.25
3 0.06 0.04 0.09 0.04 0.02 0.25
4 0.04 0.03 0.04 0.03 0.02 0.16
Total 0.29 0.18 0.30 0.15 0.08 1.00

from above Cov(X,Y )=E(XY)-E(X)*E(Y) = 0.1675

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