Question: Suppose that X, Y are jointly continuous with joint probability density function f(x, y) = c*e^(- (x^2)/2 - ((x-y)^2)/2) for some constant c . (a)

Suppose that X, Y are jointly continuous with joint probabilitydensity function

f(x, y) = c*e^(- (x^2)/2 - ((x-y)^2)/2)for some constant c.

(a) Find the value of the constant c.

(b) Find the marginal density function of X and Y .

(c) Determine whether X and Y are independent or not.

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