In a bolt manufacturing factory, there are four machines A,B,C and D, manufacturing 15%, 20%, 30% and 35% respectively of the total production.  Out of these 5%, 4% and 3% and 2% are defective? (1)If a bolt is drawn at random, what is the probability that it is defective? (2)lf it is defective, what is the probability that it is manufactured by D?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In a bolt manufacturing factory, there are four machines A,B,C and D, manufacturing 15%, 20%, 30% and 35% respectively of the total production.  Out of these 5%, 4% and 3% and 2% are defective?

(1)If a bolt is drawn at random, what is the probability that it is defective?

(2)lf it is defective, what is the probability that it is manufactured by D?

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