Show that the random variables with the densities f(x, y) = x + y and g(x, y)
Question:
Show that the random variables with the densities
f(x, y) = x + y
and
g(x, y) = (x + 1/2)(y + 1/2)
if 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 and f(x, y) = 0 and g((x, y) = 0 elsewhere, have the same marginal distribution.
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