A manufacturer of bicycles produces 80 per cent of its output in its New York factory and the rest in San Francisco. If the probability of a defect in its New York output is 5% and the defect rate is 2% in San Francisco. (i) What is the probability a defective product was manufactured in San Francisco? (ii) If the firm replaces all defective bicycles, how many replacements will be required out of the weekly sales of 2000 bicycles?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A manufacturer of bicycles produces 80 per cent of its output in its New York factory and the rest in San
Francisco. If the probability of a defect in its New York output is 5% and the defect rate is 2% in San
Francisco.
(i)
What is the probability a defective product was manufactured in San Francisco?
(ii)
If the firm replaces all defective bicycles, how many replacements will be required out of the
weekly sales of 2000 bicycles?
Transcribed Image Text:A manufacturer of bicycles produces 80 per cent of its output in its New York factory and the rest in San Francisco. If the probability of a defect in its New York output is 5% and the defect rate is 2% in San Francisco. (i) What is the probability a defective product was manufactured in San Francisco? (ii) If the firm replaces all defective bicycles, how many replacements will be required out of the weekly sales of 2000 bicycles?
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