Question: Please help with part (a) and (c) 4.2. [A joint distribution] Suppose X and Y are jointly continuous with joint pdf fx,x (u, v) =

Please help with part (a) and (c)

4.2. [A joint distribution] Suppose X and Y are jointly continuous with joint pdf fx,x (u, v) = 3 Ive (1+u)v u20,v20 0 else. (a) Find the marginal pdfs, fx and fy. Note that these functions are defined on the entire real line. (Hint: To find the marginal of X it might help to review the Erlang density.) (b) Find the conditional pdfs, fox and fxy. Be sure to indicate where these functions are well defined, and where they are zero, as well as giving the nonzero values. (c) Find the joint CDF, FX,Y (Uo, Vo). (d) Are X and Y independent? Justify your

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