2) Consider the following joint pdf $f_{XY}(x,y) = \begin{cases} 1/8 & 0 < x < 4, \\ & 0 < y < 4, \\ & y > x \\ 0 & \text{otherwise} \end{cases}$ a) Determine $f_X(x)$. b) Determine $P[Y < -X+4]$ c) Determine the CDF.
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(x). To determine f.(x), we need to integrate the joint pdf fxy(x,y) with respect to y over the range of possible y values. For 0 < x < 4, the range of possible y values is y > x. Therefore, we can write the integral as: f.(x) = ∫[x,4] fxy(x,y) dy Since Show more…
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