Math  /  Data & Statistics

Questionre using the techrilques. Slaphty cvent thist a randamly chasen participant did not report a solld inprovemest in performance atter uaing the veualluation technicues. Fill in the probabilitse to complete the tree disgram below, and then anower the quertion that followas. Do not nound any of preur resporse: (if necresary, consult a let of formulas-) (d) Fill in the miseing probobilites. P(IG)=P(I \mid G)=\square P(G)=P(GI)=P(G)=\square \quad P(G \cap I)= \square \square P(IG)=0.75P(I \mid G)=0.75 P(GI)=P(G \cap I)=\square \square P(IG)=P(\boldsymbol{I} \mid G)= \square P(Glˉ)=P(G \cap \bar{l})= \square P(G)=0.4P(G)=0.4 improvement in pertormance ater ubag the wlusalization tobhnicues?

Studdy Solution
Verify the sum of all probabilities:
P(GI)+P(GIˉ)+P(GˉI)+P(GˉIˉ)=0.3+0.1+0.18+0.42=1 P(G \cap I) + P(G \cap \bar{I}) + P(\bar{G} \cap I) + P(\bar{G} \cap \bar{I}) = 0.3 + 0.1 + 0.18 + 0.42 = 1
The missing probabilities are:
P(GI)=0.3 P(G \cap I) = 0.3 P(GIˉ)=0.1 P(G \cap \bar{I}) = 0.1 P(GˉI)=0.18 P(\bar{G} \cap I) = 0.18 P(GˉIˉ)=0.42 P(\bar{G} \cap \bar{I}) = 0.42

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