22. The joint density function of X and Y is $$f(x, y) = begin{cases} x+y & 0...
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22. The joint density function of X and Y is
$$f(x, y) = \begin{cases}
x+y & 0 0 & \text{otherwise} \end{cases}$$ (a) Are X and Y independent? (b) Find the density function of X. (c) Find P(X + Y < 1).
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