Suppose (2 %) of cotton fabric rolls and (3 %) of nylon fabric rolls contain flaws. Of

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Suppose \(2 \%\) of cotton fabric rolls and \(3 \%\) of nylon fabric rolls contain flaws. Of the rolls used by a manufacturer, \(70 \%\) are cotton and \(30 \%\) are nylon.

a) What is the probability that a randomly selected roll used by the manufacturer contains flaws?

b) Given that a randomly selected roll used by the manufacturer does not contain flaws, what is the probability that it is a nylon fabric roll?

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