Homework SourseA company that produces a particular machine component has 3
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?
Solution
Probability that componet was not defective and selected from dayton
= 32%*1.4%/(29%*1.9%+39%*1.2%)
