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7 September, 09:37

On the production line the company finds that 99.7% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production? Less than 29 Less than 30 Less than 25 Less than 28

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  1. 7 September, 09:56
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    correct option is Less than 29

    Explanation:

    given data

    probability of correct product P = 99.7 %

    no of product n = 30

    to find out

    What number of the 30 being incorrectly made would cause you to shut down production

    solution

    we know here probability of incorrect production = 100 - 99.7 = 0.3%

    so here out of 30 sample

    permissible incorrect production are = 0.3% of 30

    permissible incorrect production = 0.9

    so we can say that correct product = 30 - 0.9 = 29.1 product

    so there will be 29.1 correct products

    and anything lesser will lead to plant shut down

    so correct option is Less than 29
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