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:

Central Atlantic

The central portion of the Atlantic Ocean, situated between the Americas to the west and Europe and Africa to the east.

Two Hundred Million

Indicates a numerical quantity, often used in geological contexts to denote age, such as 200 million years ago.

Submarine Canyons

Deep, steep-sided valleys cut into the seabed of the continental slope, often extending well beyond the depth of the surrounding ocean floor.

Oceanic Plateau

Elevated regions of the ocean floor, characterized by a relatively flat topography, and often formed by volcanism or large igneous provinces.