Let the joint pmf of X and Y be f(x,y)=1/4, (x,y)∈S={(0,0),(1,1),(1,−1),(2,0)}. (a) Are X and Y independent? (b) Calculate Cov(X,Y) andrho. This exercise also illustrates the fact that dependent random

Let the joint pmf of X and Y be f(x,y)=1/4, (x,y)∈S={(0,0),(1,1),(1,−1),(2,0)}. (a) Are X and Y independent? (b) Calculate Cov(X,Y) andrho. This exercise also illustrates the fact that dependent random variables can have a correlation coefficient of zero

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Let the joint pmf of X and Y be f(x,y)=1/4, (x,y)∈S={(0,0),(1,1),(1,−1),(2,0)}. (a) Are X and Y independent? (b) Calculate Cov(X,Y) andrho. This exercise also illustrates the fa…

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