Question: Suppose the joint density function of X and Y is f(x, y) = 2e 6x , for x > 0, 1 < y < 4.

Suppose the joint density function of X and 

Y is f(x, y) = 2e−6x, for x > 0, 1 < y < 4. 

By noting the form of the joint density and without doing any calculations show that X and Y are independent. Describe their marginal distributions.

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