Hello dear tutors out there, I have the following statistical problem, I would appreciate your support to explain how to solve the problem.

A dental office serves with 1 dentist up to 1 to 4 clients, two dentists, if there is up to 5 to 7 clients and add a third dentist if there is more than 8 clients. It is estimated that clients arrive according to a Poisson distribution with an average of 10 clients per hour, and the service time calculated to be attended is 20 minutes.

Determine the probabilities of steady state and explain the process.