Question: Let X and Y be two continuous-type random variables with joint pdf fX,Y (u, v) = 12 eu for u 0 and 0 v 2,

Let X and Y be two continuous-type random variables with joint pdf fX,Y (u, v) = 12 eu for u 0 and 0 v 2, and 0 otherwise.

a. Find the marginal pdf of X. b. Find the conditional pdf fX|Y (u|v) for all u, v.

c. LetZ=X+Y. Find the pdf of Z.

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