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A car manufacturing factory has two plants X and Y. Plant X manufactures 70% of tl1e cars and plant Y manufactures 30%. At plant X, 80% of the cars are rated of standard quality and at plant Y, 90% are rated of standard quality. A car is picked up at random and is found to be of standard quality. Find the probability that it has come from plantX. |
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Answer» <P> `P(E_1)=70/100=7/10,P(E_2)=30/100=3/10`, `P(E//E_1)=80/100=4/5,P(E//E_2)=90/100=9/10` `:. P(E_1//E)=(P(E_1)xxP(E//E_1))/(P(E_1)xxP(E//E_1)+P(E_2)xxP(E//E_2))` `=((7/10xx4/5))/((7/10xx4/5)+(3/10xx9/10))=56/83`. |
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