Aircraft landing gears coming from a facility are inspected for defects with the aim to improve the failure rates. Historical data shows tha

Question

Aircraft landing gears coming from a facility are inspected for defects with the aim to improve the failure rates. Historical data shows that 10% have defects in shafts only, 8% have defects in bushings only, and 4% have the two types of defects. An assembly is selected arandom, what is the probability it contains no defects

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2 weeks 2021-11-18T04:57:34+00:00 1 Answer 0 views 0

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  1. Emma
    0
    2021-11-18T04:59:01+00:00

    Answer:

    78% probability it contains no defects

    Step-by-step explanation:

    We have that:

    10% have defects in shafts only.

    8% have defects in bushings only.

    4% have the two types of defects.

    An assembly is selected arandom, what is the probability it contains no defects

    Either it has at least one defect, or it has no defects. The sum of these probabilities is 100%. So

    D + ND = 100

    Probability that it has a defect

    D = 10 + 8 +4 = 22%

    No defects:

    22 + ND = 100

    ND = 78

    78% probability it contains no defects

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