## consider there are three machines. All of the machines can produce 1000 pins at a time. Therate of producing a faulty pin from Machine 1 be

Question

consider there are three machines. All of the machines can produce 1000 pins at a time. Therate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%. What is the probability that a produced pin will be faulty and it will be from the firstmachin?

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2022-01-07T18:36:14+00:00
2022-01-07T18:36:14+00:00 1 Answer
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## Answers ( )

Answer:0.03333

Step-by-step explanation:Given that there are three machines. All of the machines can produce 1000 pins at a time.

Chance for any machine is thus equaly likely = 1/3

The rate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%.

Machine I II III total

Faulty 0.10 0.20 0.05

Prob 0.3333 0.3333 0.3334 1

Faulty*prob 0.03333 0.06666 0.16665 0.26664

Thus probability that a produced pin will be faulty and it will be from the firstmachine

= 0.03333