In a manufacturing plant, machine A produces 20% of a certain product, machine B produces 30% of this product, and machine C produces 50% of this product. Six percent of machine A products are defective, 10% of machine B products are defective, and 7% of machine C products are defective. The company inspector has just sampled a product from this plant and has found it to be defective. Determine the revised probabilities that the sampled product was produced by machine A, machine B, or machine C. (Note: A = product produced on Machine A, B = product produces on Machine B, C = product produced on Machine C, D = defective product) (Round your answers to 4 decimal places, e.g. 0.7895.) P(A|D) = P(B | D) = P(C | 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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Question 54

In a manufacturing plant, machine A produces 20% of a certain product, machine B produces 30% of this product, and machine C
produces 50% of this product. Six percent of machine A products are defective, 10% of machine B products are defective, and 7% of
machine C products are defective. The company inspector has just sampled a product from this plant and has found it to be defective.
Determine the revised probabilities that the sampled product was produced by machine A, machine B, or machine C.
(Note: A = product produced on Machine A, B = product produces on Machine B, C = product produced on Machine C, D = defective
product)
(Round your answers to 4 decimal places, e.g. 0.7895.)
P(A | D) =
%3D
P(B | D) =
P(C | D) =
Transcribed Image Text:In a manufacturing plant, machine A produces 20% of a certain product, machine B produces 30% of this product, and machine C produces 50% of this product. Six percent of machine A products are defective, 10% of machine B products are defective, and 7% of machine C products are defective. The company inspector has just sampled a product from this plant and has found it to be defective. Determine the revised probabilities that the sampled product was produced by machine A, machine B, or machine C. (Note: A = product produced on Machine A, B = product produces on Machine B, C = product produced on Machine C, D = defective product) (Round your answers to 4 decimal places, e.g. 0.7895.) P(A | D) = %3D P(B | D) = P(C | D) =
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