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A Company Has 2 Machines That Produce Widgets

question 60

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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 a randomly chosen
Widget was tested and found to be defective, what is the probability it was produced by the new
Machine?


Definitions:

Repression

A psychological defense mechanism where undesirable thoughts, memories, or desires are unconsciously pushed out of conscious awareness.

Defense Mechanism

A defense mechanism is a psychological strategy used unconsciously to protect a person from anxiety arising from unacceptable thoughts or feelings.

Displacement

A defense mechanism where an individual redirects emotional or physical responses from the intended target to another, often less threatening, target.

Defense Mechanism

Psychological strategies unconsciously used to protect oneself from anxiety or unacceptable thoughts and feelings.

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