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Quality-control checks on wood paneling involve counting the number of surface flaws on each panel. On a given 2 × 8 ft panel, let X be the number of surface flaws due to uneven application of the final coat of finishing material, and let Y be the number of surface flaws due to inclusions of foreign particles in the finish. The joint probability mass function p(x,y) of X and Y is presented in the following table. The marginal probability mass functions are presented as well, in the margins of the table. Find the covariance of X and Y
y
x
0
1
2
pX (x)
0.05
0.10
0.20
0.35
0.15
0.25
0.40
pY(y)
0.30
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