The Quality Control Manager for NKA Inc

question 23

Essay

The quality control manager for NKA Inc.must decide whether to accept (alternative 1),further analyze (alternative 2),or reject (alternative 3)an incoming shipment (lot)of microchips.The historical data indicate that there is a 30 percent chance that the lot is poor quality (S₁),50 percent chance that the lot is fair quality (S₂),and 20 percent chance that the lot is good quality (S₃).Assume the following payoff table is available.The values in the payoff table are in thousands of dollars. Based on historical data,if the lot is poor quality,40 percent of the items are defective.If the lot is fair quality,22 percent of the items are defective.If the lot is good quality,10 percent of the items are defective.The quality control manager inspects one unit from a recent shipment.After inspecting it,he determines that the unit is defective.Based on this additional information,determine the revised (posterior)probabilities for each of the three states of nature.

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Definitions:

Brief Psychodynamic Therapy

A form of psychodynamic therapy with a focus on immediate problems, aiming to provide quicker results by concentrating on the here and now.

Allegiance Bias

A tendency to support or believe in something based on loyalty or preference rather than empirical evidence.

Object-relations Theorist

A psychologist or psychoanalyst specializing in the study of how people develop mental representations of themselves and others through their early relationships.

Good Enough Mothering

A concept in psychoanalytic theory referring to an approach to parenting that is attuned to the child's needs, supportive, but not perfect, allowing for healthy development.