Use the following information. A personal computer manufacturer buys 38% of its

Question

Use the following information. A personal computer manufacturer buys 38% of its chips from Japan and t rest from the United States. Of the Japanese chips, 1.7% are defective, and 1.1% of the American chips are defective. Find the probability that a chip is defective and made in Japan. Find the probability that a chip is defective and made in the United States. Find the probability that a chip is defective. Find the probability that a chip is defect-free. The results of CNN's 2008 presidential election poll are given in Figure 3.43.

Explanation / Answer

P(Japan) = 0.38

P(United states) = 0.62

P(defective/Japan) = 0.017

P(defective/ United states) = 0.011

42)

P(defective) = P(Japan)*P(defective/Japan)+P(United states)*P(defective/ United states)

= 0.38*0.017+0.62*0.011 = 0.01328

P(United states/defective) = P(United states and Japan)/P(defective)

= 0.38*0.017/0.01328 = 0.49

43)

P(defective) = P(Japan)*P(defective/Japan)+P(United states)*P(defective/ United states)

= 0.38*0.017+0.62*0.011 = 0.01328

44)

Probabity that a chip is defect-free = 1-P(defective)

= 1-0.01328 = 0.9867

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