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 no flaws? Let F denote the event that a roll contains a flaw and let C denote the event that a roll is cotton. (Show complete solution in your answer sheet) a. 0.977 O b. 0.686 c. 0.023

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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. What is the probability that a randomly
selected roll used by the manufacturer contains no flaws?
Let F denote the event that a roll contains a flaw and let C denote the event that a roll is cotton.
(Show complete solution in your answer sheet)
a. 0.977
O b. 0.686
O c. 0.023
Transcribed Image Text: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 no flaws? Let F denote the event that a roll contains a flaw and let C denote the event that a roll is cotton. (Show complete solution in your answer sheet) a. 0.977 O b. 0.686 O c. 0.023
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