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CBSE Class 12-science Answered

A company has two plants to manufacture scooters. Plant I manufactures 70% of the scooters and plant II manufactures 30%. At plant I, 80% of the scooters are rated as of standard quality and at plant II, 90% of the scooters are rated as of standard quality. A scooter is chosen at random and is found to be of standard quality. What is the probability that it has come from plant II?
Asked by Topperlearning User | 20 Aug, 2016, 12:00: AM
answered-by-expert Expert Answer

E subscript 1 equals p l a n t space text I  end text m a n u f a c t u r e s space s c o o t e r E subscript 2 equals p l a n t space text II  end text m a n u f a c t u r e s space s c o o t e r A equals s c o o t e r space i s space o f space s tan d a r d space q u a l i t y P left parenthesis E subscript 1 right parenthesis equals 70 over 100 space P left parenthesis E subscript 2 right parenthesis equals 30 over 100 space P left parenthesis A divided by E subscript 1 right parenthesis equals 80 over 100 space P left parenthesis A divided by E subscript 2 right parenthesis equals 90 over 100 B y space B a y e apostrophe s space T h e o r e m P left parenthesis E subscript 2 divided by A right parenthesis equals fraction numerator P left parenthesis E subscript 2 right parenthesis P left parenthesis A divided by E subscript 2 right parenthesis over denominator P left parenthesis E subscript 2 right parenthesis P left parenthesis A divided by E subscript 2 right parenthesis plus P left parenthesis E subscript 1 right parenthesis P left parenthesis A divided by E subscript 1 right parenthesis end fraction equals fraction numerator 27 over denominator 27 plus 56 end fraction equals 27 over 83

Answered by | 20 Aug, 2016, 02:00: AM

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