14) Let X and Y be jointly continuous random variables with joint pdfs ху for 0 ≤ x ≤ 1,0 ≤ y ≤ 2 3 otherwise fxy (x, y) = x² + 0 i) Are x and y independent? ii) Find f(x|y) and f(y|x).

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14) Let X and Y be jointly continuous random variables with joint pdfs
xy
√x + 3/
0
fxy (x, y) =
XY
i) Are x and y independent?
ii) Find f(x|y) and ƒ(y|x).
CS Scanned with CamScanner
for 0 ≤ x ≤ 1,0 ≤ y ≤ 2
otherwise
Transcribed Image Text:14) Let X and Y be jointly continuous random variables with joint pdfs xy √x + 3/ 0 fxy (x, y) = XY i) Are x and y independent? ii) Find f(x|y) and ƒ(y|x). CS Scanned with CamScanner for 0 ≤ x ≤ 1,0 ≤ y ≤ 2 otherwise
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