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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Delilah 2 weeks 2022-01-07T18:36:14+00:00 1 Answer 0 views 0

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    2022-01-07T18:38:09+00:00

    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

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