There are 3 production lines (A, B and C) in a factory which manufacture 35%, 45% and 20% of the total products, respectively. The probability of manufacturing a defective product by each of these production lines A, B and C is also given as 0.15, 0.2, and 0.05, respectively. a) If a finished product is randomly selected, what is the probability that it is defective?

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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There are 3 production lines (A, B and C) in a factory which manufacture 35%, 45% and 20% of
the total products, respectively. The probability of manufacturing a defective product by each of
these production lines A, B and C is also given as 0.15, 0.2, and 0.05, respectively.
a) If a finished produet is randomly selected, what is the probability that it is defective?
b) Assuming that a randomly selected product is found to be non-defective, what is the probability
that it was selected from production line C?
Transcribed Image Text:There are 3 production lines (A, B and C) in a factory which manufacture 35%, 45% and 20% of the total products, respectively. The probability of manufacturing a defective product by each of these production lines A, B and C is also given as 0.15, 0.2, and 0.05, respectively. a) If a finished produet is randomly selected, what is the probability that it is defective? b) Assuming that a randomly selected product is found to be non-defective, what is the probability that it was selected from production line C?
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