Suppose that a finished product is randomly selected. What is the probability that it is defective? (b) If a product was chosen randomly and found to be defective, what is the probability that it was made by machine ?3?

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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4. In a certain assembly plant, three machines, ?1, ?2 and ?3, make 30%, 45%, and 25%,
respectively, of the products. It is known from past experience that 2%, 3%, and 2% of
the products made by each machine, respectively, are defective.
(a) Suppose that a finished product is randomly selected. What is the probability that it
is defective?
(b) If a product was chosen randomly and found to be defective, what is the probability
that it was made by machine ?3? 

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