A more thorough explanation:

A private carrier is an individual or organization that agrees to transport passengers or goods for a fee, but only on a case-by-case basis. They do not offer their services to the general public and only transport by special agreement. This is different from a common carrier, which is available to transport anyone who requests their services.

For example, a school bus company that only transports special education students between home and school is a private carrier. They have a specific agreement with the school district to provide this service and do not transport any additional passengers or cargo. They are not a common carrier because they do not offer their services to the general public.

Another example of a private carrier is a moving company that only transports goods for specific clients who have hired them for a move. They do not offer their services to the general public and only transport by special agreement.

These examples illustrate the definition of a private carrier because they both transport passengers or goods for a fee, but only on a case-by-case basis. They do not hold themselves out as ready and willing to transport for the public and are not bound to serve every person who may apply.