A company makes computer chips. Minor defects in the materials (silicon, etc.) are common, and the...
A company makes computer chips. Minor defects in the materials (silicon, etc.) are common, and the probability that any one chip is defective is 25%. Therefore, the company tests each chip to make sure it is good before it sends it to market. The test that the company uses is not perfect – even a bad chip will pass the test 10% of the time, and a good chip will fail 5% of the time. In the long run, what fraction of the computer chips that the company sells are defective?
Homework Answers
Ans:
P(defective)=0.25
P(pass/defective)=0.10
P(fail/not defective)=0.05
P(pass)=P(pass/defective)*P(defective)+P(pass/not defective)*P(not defective)
=0.10*0.25+(1-0.05)*(1-0.25)
=0.7375
Company will sell only those chips,that pass the test,so we have to calculate:
P(defective/pass)=P(pass/defective)*P(defective)/P(pass)
=0.10*0.25/0.7375=0.0339
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