Solution Found!
Suppose 2% of cotton fabric rolls and 3% of nylon fabric
Chapter 2, Problem 124E(choose chapter or problem)
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. What is the probability that a randomly selected roll used by the manufacturer contains flaws?
Questions & Answers
QUESTION:
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. What is the probability that a randomly selected roll used by the manufacturer contains flaws?
ANSWER:Step 1 of 2
We have given of cotton fabric rolls and of nylon fabric rolls contain flaws.
Of the rolls, are cotton and are nylon.
We are asked to find the probability that a randomly selected roll used by the manufacturer contains flaws.
Let denote the event that a roll contains a flaw.
Let denote the event that a roll contains is a cotton.
According to the question, we need to find the probability that the roll contains flaws given that rolls are cotton and nylon.