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) O a. 0.023 O b. None among the choices O c. 0.686 O d. 0.977

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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. 0.023
O b. None among the choices
O c. 0.686
O d. 0.977
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. 0.023 O b. None among the choices O c. 0.686 O d. 0.977
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