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A company manufactures scooters at two plants, A and B. Plant A produces 80% and plant B produces 20% of the total product. 85% of the scooters produced at plant A and 65% of the scooters produced at plant B are of standard quality. A scooter produced by the company is selected at random and it is found to be of standard quality. What is the probability that it was manufactured at plant A? |
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Answer» <P> `E_2` =event that the selected scooter is produced at plant B. Then, `P(E_1)=80/100=4/5andP(E_2)=20/100=1/5`. Let E be the event of choosing a scooter which is of standrad quality. Then, `P(E//E_1)=85/100=17/20,and P(E//E_2)=65/100=13/20` PROBABILITYTHAT the selected scooter was produced at plant A, given that it is of Standard quality `=P(E_1//E)` `=(P(E//E_1).P(E_1))/(P(E//E_1).P(E_1)+P(E//E_2).P(E_2))` |
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