Consider an industrial process in the textile industry in which strips of a particular type of cloth are being produced. these strips are 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 the 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?

Accepted Solution

L: length defective, T : texture defective.Given that the strip is length defective, the probability that this strip is texture defective is given byP (TL) =P (T ∩ L)=0.008= 0.08.P (L)0.1|