A company that produces a particular machine component has 3 factories, one each

Question

A company that produces a particular machine component has 3 factories, one each in Buffalo, Dayton, and Pittsburgh. 29% of the components produced come from the Buffalo factory, 32% come from the Dayton factory, and 39% of the components come from the Pittsburgh factory. It is known that 1.9% of the components from the Buffalo factory, 1.4% from the Dayton factory, and 1.2% of the components from the Pittsburgh factory are defective. Given that a component is selected at random and is found not to be defective, what is the probability that the component was made in Dayton? A company that produces a particular machine component has 3 factories, one each in Buffalo, Dayton, and Pittsburgh. 29% of the components produced come from the Buffalo factory, 32% come from the Dayton factory, and 39% of the components come from the Pittsburgh factory. It is known that 1.9% of the components from the Buffalo factory, 1.4% from the Dayton factory, and 1.2% of the components from the Pittsburgh factory are defective. Given that a component is selected at random and is found not to be defective, what is the probability that the component was made in Dayton? A company that produces a particular machine component has 3 factories, one each in Buffalo, Dayton, and Pittsburgh. 29% of the components produced come from the Buffalo factory, 32% come from the Dayton factory, and 39% of the components come from the Pittsburgh factory. It is known that 1.9% of the components from the Buffalo factory, 1.4% from the Dayton factory, and 1.2% of the components from the Pittsburgh factory are defective. Given that a component is selected at random and is found not to be defective, what is the probability that the component was made in Dayton? A company that produces a particular machine component has 3 factories, one each in Buffalo, Dayton, and Pittsburgh. 29% of the components produced come from the Buffalo factory, 32% come from the Dayton factory, and 39% of the components come from the Pittsburgh factory. It is known that 1.9% of the components from the Buffalo factory, 1.4% from the Dayton factory, and 1.2% of the components from the Pittsburgh factory are defective. Given that a component is selected at random and is found not to be defective, what is the probability that the component was made in Dayton?

Explanation / Answer

Probability that componet was not defective and selected from dayton

= 32%*1.4%/(29%*1.9%+39%*1.2%)

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