The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. a(. Suppose that the joint p.m.f. of X and Y is modeled as fxy(x,y) =c(x I y ), x=1,2,3 and y= 1,2,3.Determine the value of c. b). Determine the marginal p.m.f. of X. Find also the mean and variance of X. c.) Determine the conditional p.m.f. of Y given X-2. Find also the conditional mean and conditional variance of Y given X=? d). Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.

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