Question: 6. Let X, Y , and Z be jointly continuous with the following joint probability density function: f (x, y, z) = B x2ex(1+y+z) if

6. Let X, Y , and Z be jointly continuous with the following joint probability density function: f (x, y, z) = B x2e−x(1+y+z) if x, y, z > 0 0 otherwise. Are X, Y , and Z independent? Are they pairwise independent?

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