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:

Elevated Radon Levels

Refers to higher concentrations of radon gas in the atmosphere or in buildings, which is hazardous to health due to its radioactive properties.

Radioactive Isotopes

Atoms of the same element that have different numbers of neutrons and exhibit radioactivity by emitting radiation.

Belt of Stability

A graphical representation showing stable isotopes of elements; isotopes within the belt are more stable against radioactive decay.

Decaying Radioactive Element

An unstable atom that loses energy by emitting radiation in the form of particles or electromagnetic waves.