A more thorough explanation:

A public institution is an established organization that is owned and operated by the government or a public entity. It can be a facility for the treatment of mentally disabled persons, a school, a hospital, a library, or any other organization that provides services to the public.

For example, a public university is a public institution because it is owned and operated by the state government. It provides education to the public and is funded by taxpayers' money. Another example is a public library, which is also a public institution because it is owned and operated by the government and provides free access to books and other resources to the public.

These examples illustrate the definition of a public institution because they are both owned and operated by the government and provide services to the public. They are not run for profit, and their main goal is to serve the public interest.