ENSE411 3. Given the following joint probability tables, determine if the given independence or conditional independence

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Ense411 3 Given The Following Joint Probability Tables Determine If The Given Independence Or Conditional Independence 1 (68.85 KiB) Viewed 91 times

ENSE411 3. Given the following joint probability tables, determine if the given independence or conditional independence relationship is a yes or no. Show how you arrived at your answer. (a) X +x X P(X) 0.6 0.4 Y ty -Y P(Y) 0.700 0.300 +x -X tX Y ty -у +y -Y P(X, Y) 0.42 0.18 0.12 0.28 -X ili -X Is X independent from Y? (b) X X z +z +x +x -Z +x +x +x +x z +y -Y +y -Y Y ty ty -y -Y ty ty - -y P(XIZ) 0.9 0.2 0.1 0.8 +z X +x +x +x +x -X P(X,Y,Z) 0.162 0.216 0.084 0.032 0.018 0.024 0.336 0.128 0.14 Y ту + -Y -Y +y ty -2 -X z P(X,YZ) +z 0.27 -Z 0.54 +z -Z 0.08 +z. 0.03 -2 0.06 +z 0.56 -Z 0.32 -X +z -X -X -X -X -Z +z -Z -X -X -Y -Y -X Is X independent from Y given Z?