Question: Given f (x, y) = k sin(x) cos(y)ex, 0 < x < ????2,????2 < y < ????2. (a) Find k. (b) Find the marginal and

Given f (x, y) = k sin(x) cos(y)e−x, 0 < x < ????∕2,−????∕2 < y < ????∕2.

(a) Find k.

(b) Find the marginal and conditional densities.

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