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A computer producing factory has only two plants and . Plant produces and plant produces of the total computers produced. of computers produced in the factory turn out to be defective. It is known that,
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Where, denotes the probability of an event . A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant is
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Where, denotes the probability of an event . A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant is
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The correct answer is:
Let, (where, represents defective units)
(given)
Probability of not defective, given that it is produced in plant
Now using Bayes' theorem
Probability of computer from given that it is not defective :
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