Let a, b, c, d be any numbers with a In other words, f (x, y) is

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Let a, b, c, d be any numbers with a
Let a, b, c, d be any numbers with a

In other words, f (x, y) is constant on the rectangle a 

a. Show that k = 1/((b - a)(d - c)).
b. Show that the marginal density of X is fX (x) = 1/(b - a) for a 

c. Show that the marginal density of Y is fY (y) = 1/(d - c) for c 

d. Use parts (a), (b), and (c) to show that X and Y are independent.

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