Question: 8. Show that there exists a constant c such that the function f (x, y) = c (1 + x2 + y2)3/2 for x, y

8. Show that there exists a constant c such that the function f (x, y) =

(1 + x2 + y2)3/2 for x, y ∈ R is a joint density function. Show that both marginal density functions of f are the density function of the Cauchy distribution.

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