2) P(brand A) = 0.5
P(brand B) = 0.3
P(brand C) = 0.2
P(require warranty | brand A) = 0.25
P(require warranty | brand B) = 0.2
P(require warranty | brand C) = 0.1
a) P(require warranty) = P(require warranty | brand A) * P(brand A) + P(require warranty | brand B) * P(brand B) + P(require warranty | brand C) * P(brand C)
= 0.25 * 0.5 + 0.2 * 0.3 + 0.1 * 0.2
= 0.205
b) P(brand B | require warranty) = P(require warranty | brand B) * P(brand B) / P(require warranty)
= 0.2 * 0.3 / 0.205
= 0.2927
2. A chain of video stores sells three different brand, of TVs. oris TV sales, 50%...
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