The compressors used in refrigerators are manufactured by XYZ Co. at three factories at New York , and California, It is known that the New York factory produces twice as many compressors as the California one, Which produces the same number as the California one (during the same period). Experience also shows That 0.2% of the compressors produced at New York and California are defective and so are 0.4% of these Produced at California. A quality control engineer while maintaining a refrigerator finds a defective compressor. What is the probability that the New York factory is not to be blamed.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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The compressors used in refrigerators are manufactured by XYZ Co. at three factories at New York , and
California, It is known that the New York factory produces twice as many compressors as the California
one, Which produces the same number as the California one (during the same period). Experience also
shows That 0.2% of the compressors produced at New York and California are defective and so are 0.4%
of these Produced at California.
A quality control engineer while maintaining a refrigerator finds a defective compressor. What is the
probability that the New York factory is not to be blamed.
Transcribed Image Text:The compressors used in refrigerators are manufactured by XYZ Co. at three factories at New York , and California, It is known that the New York factory produces twice as many compressors as the California one, Which produces the same number as the California one (during the same period). Experience also shows That 0.2% of the compressors produced at New York and California are defective and so are 0.4% of these Produced at California. A quality control engineer while maintaining a refrigerator finds a defective compressor. What is the probability that the New York factory is not to be blamed.
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