3. Three plants A, B, and C each produce 30%, 50%, and 20% of a company's total output, respectively. These plants produce items that are 2%, 5%, and 3% defective, respectively. All products are sent to a central warehouse and one of them is selected at random. If this item is observed to be defective, what is the probability that it comes from plant B?

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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B-
3.
Three plants A, B, and C each produce 30%, 50%, and 20% of a
company's total output, respectively. These plants produce items that
are 2%, 5%, and 3% defective, respectively. All products are sent to a
central warehouse and one of them is selected at random. If this item
is observed to be defective, what is the probability that it comes from
plant B?
Transcribed Image Text:B- 3. Three plants A, B, and C each produce 30%, 50%, and 20% of a company's total output, respectively. These plants produce items that are 2%, 5%, and 3% defective, respectively. All products are sent to a central warehouse and one of them is selected at random. If this item is observed to be defective, what is the probability that it comes from plant B?
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