A Machine Is Used in a Production Process

question 101

Short Answer

A machine is used in a production process. From past data, it is known that 97% of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 40% acceptable items.
a.An item from the production line is selected. What is the probability that the selected item is non-defective?
b.Given that the selected item is non-defective, what is the probability that the machine is set up correctly?

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Definitions:

Good Impression

The positive perception or judgment formed by others based on one's appearance, behavior, or qualities.

Exercise Discretion

The ability or power to decide or act according to one's own judgment; often in professional situations requiring sensitivity or confidentiality.

Collateral Contacts

Additional people or entities involved in a client's life or case, contacted to gather more comprehensive information.

Family Members

Individuals connected by blood, marriage, or adoption who typically share a living space and life experiences.