[Solution] Let X and Y be random variables with joint probability density f_X, Y(x,


Question: Let \(X\) and \(Y\) be random variables with joint probability density

\[f_{X, Y}(x, y)=\left\{\begin{array}{cl} c e^{-x-y}, & 0 Determine the value of the constant \(c\). Determine whether \(X\) and \(Y\) are independent.

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