A Manufacturer of Widgets Has Three Assembly Lines: A,B,and C

question 107

Essay

A manufacturer of widgets has three assembly lines: A,B,and C.The percentages of total daily output that are produced by the lines are 30%,40%,and 30%,respectively.The percentage of defective units produced by the lines are estimated to be 2%,3%,and 2%,respectively.If a widget is randomly selected from a day's production and it is defective,what is the probability that it came from assembly line A?

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Definitions:

Coffee

A beverage made from roasted and ground beans of the coffee plant, commonly consumed for its stimulating effects.

Substitution Effect

The economic principle that as the price of a good or service rises, consumers will replace it with cheaper alternatives.

Utility

represents the total satisfaction received from consuming a good or service.

Total Utility

The overall satisfaction or fulfillment that a consumer receives from consuming a particular quantity of goods or services.