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I am trying to understand why the solution (a) in the second picture is a valid way to re-write the joint PDF given in the first picture. When I calculate the marginal PDFs for X and Y using integration I don't get a result that equates what I see in picture #2.
Example 5.23. Determine whether X and Y are independent: X, Y > 0 (a) fxy(x, y) = 0 otherwise 2e-2-2y {
where (c) is the unit step function: (a) We can write fxy(,y) = [e-*u(x)][2e-2u(y)],? u(x) = 1 { 0 > 1 otherwise Thus, we co
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for further any queries please comment and thank you.

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