Let f(z,y) 0 0, cr'y, if 0 x, y 1,x y 1, elsewhere, be the joint pdf of (X,Y) (a) Sketch the region for which f(x, y) 0 (b) Derive the value of c (c) Find the marginal pdfs of X and Y (d) Determine the conditional pdf of X given Y y

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Question: Let f(z,y) = { 0 0, cr'y, if 0 < x, y < 1,x+y <1, elsewhere, be the joint pdf of (X,Y). (a) Sketch

Let f(z,y) = { 0 0, cr'y, if 0 < x, y

< 1,x+y 0. (b) Derive the value of c. (c) Find the

marginal pdfs of X and Y (d) Determine the conditional pdf of

X given Y = y.

Let f(z,y) = { 0 0, cr'y, if 0 < x, y < 1,x+y 0. (b) Derive the value of c. (c) Find the marginal pdfs of X and Y (d) Determine the conditional pdf of X given Y = y.

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