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:

Postwar Period

The era immediately following the end of a major conflict, often marked by societal changes and reconstruction efforts.

White Citizens' Councils

Segregationist organizations in the United States, particularly in the South during the mid-20th century, that opposed racial integration and promoted white supremacy.

School Integration

The process of ending racial segregation in schools, legally mandated by the Supreme Court's Brown v. Board of Education decision in 1954.

Southern States

Refers to the states that are located in the southeastern and south-central regions of the United States, historically known for their distinct cultural, social, and economic characteristics.