6. Consider an industrial process in the textile industry in which strips of a particular type of cloth are being produced. These strips can be defective in two ways, length and nature of texture. For the case of the latter, the process of identification is very complicated. It is known from historical information on the process that 10% of strips fail the length test, 5% fail the texture test, and only 0.8% fail both tests. If a strip is selected randomly from the process and a quick measurement identifies it as failing the length test, what is the probability that it is texture defective?

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6. Consider an industrial process in the textile industry in which strips of a particular type of
cloth are being produced. These strips can be defective in two ways, length and nature of
texture. For the case of the latter, the process of identification is very complicated. It is
known from historical information on the process that 10% of strips fail the length test, 5%
fail the texture test, and only 0.8% fail both tests. If a strip is selected randomly from the
process and a quick measurement identifies it as failing the length test, what is the probability
that it is texture defective?
Transcribed Image Text:6. Consider an industrial process in the textile industry in which strips of a particular type of cloth are being produced. These strips can be defective in two ways, length and nature of texture. For the case of the latter, the process of identification is very complicated. It is known from historical information on the process that 10% of strips fail the length test, 5% fail the texture test, and only 0.8% fail both tests. If a strip is selected randomly from the process and a quick measurement identifies it as failing the length test, what is the probability that it is texture defective?
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