Consider two queueing systems.

The first has one server and no limit on the length of the queue. Customers arrive according to a Poisson process with rate. The service time is exponentially distributed with ratek.kis proportional to the number of people in the system. That is, wherekis the number of people in the systemandis a constant.

k = ku

=1.5

=1.6

a. Determine the steady-state probability1(Please round to 3 decimal places).