Question: 25. Suppose that the random variables (X, Y ) are bivariate normal with joint p.d.f. f(x, y) = c exp 25 18 x2

25. Suppose that the random variables (X, Y ) are bivariate normal with joint p.d.f.

f(x, y) = c exp



−25 18



x2 + y2 +

4 5x − 14 5 y − 8 5xy +

17 5



(a) Find the parameters of the bivariate normal

(b) Find the value of c

(c) Find the marginal p.d.f.’s of both X and Y .

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