1% of computers produced in Factory One aredefective. 3% of computers produced i

Question

1% of computers produced in Factory One aredefective. 3% of computers produced in Factory Two are defective. 5% of computers produced in Favtory Three are defective. 1. What is the probability that a computer from either ofthese three factories is defective if Factory One generates 40% offabricated computers, Factory Two 35% and Factory Three 25%. 2.A computer is tested and it is defective, what is theprobability that it comes from Factory One? 1% of computers produced in Factory One aredefective. 3% of computers produced in Factory Two are defective. 5% of computers produced in Favtory Three are defective. 1. What is the probability that a computer from either ofthese three factories is defective if Factory One generates 40% offabricated computers, Factory Two 35% and Factory Three 25%. 2.A computer is tested and it is defective, what is theprobability that it comes from Factory One?

Explanation / Answer

(1) The probability is P(defective)=0.01*0.4+0.03*0.35+0.05*0.25 = 0.027 (2) The probability is P(Factory One | defective) =P(Factory One and defective)/ P(defective) =(0.01*0.4)/0.027 =0.1481

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