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A Company Has 2 Machines That Produce Widgets

question 5

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A company has 2 machines that produce widgets. An older machine produces 23% defective widgets, while the new machine produces only 8% defective widgets. In addition, the new machine produces 3 times as many widgets as the older machine does. Given that a widget was produced by the new machine, what is the probability it is not defective?


Definitions:

PKU

Short for Phenylketonuria, a rare inherited disorder that causes an amino acid called phenylalanine to build up in the body due to the body's inability to metabolize it properly.

Sickle-Cell Anemia

A genetic disorder that decreases the blood’s capacity to carry oxygen.

African Americans

A racial or ethnic group in the United States with ancestry from any of the black racial groups of Africa.

Carriers

Individuals who have one copy of a gene mutation for a recessive disorder, showing no symptoms but capable of passing the gene to their offspring.

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