Question: Suppose that X, Y are jointly continuous with joint probability density function fe(1-cosa c cos rcos y) if r, y = [0, ], {cu

Suppose that X, Y are jointly continuous with joint probability density function

Suppose that X, Y are jointly continuous with joint probability density function fe(1-cosa c cos rcos y) if r, y = [0, ], {cu else f(x, y) = for some constant c. (a) Find the value of the constant c. (b) Find the marginal density functions of X and Y. Identify by name the (marginal) probability distributions of X and Y. (c) Determine whether X and Y are independent.

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