Two devices produce identical components that come into common production line. The probability that the first...

Two devices produce identical components that come into common production line. The probability that the first device produces a component with a defect is 0.035 ,but for the second device it is 0.015 . The productivity of the second device is four times less than of the first one. Find the probability that the component ,taken from the common line at random, dies not have a defect.

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Expert Solution

The above figure is an digramatic reprsentation of the Assembly line supported by devices A & B

Let us try to answer this by taking that 1000 number of components are in the assenbly line.

Assembly line identical components= 1000

So number of units contributed by

A= 800 & B= 200, respectively

Number of defects from A= 800(0.035)= 28 units

Number of defects from B= 200(0.015)= 3 units

Total defects in assembly line= 28+3= 31 Units.

P(Defect in assembly line) = 31/1000= .031

P(No defect)= 1- Probability of Defect= 1-.031= .969.

End of answer!!

orchestra answered 1 year ago

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