5 Suppose that interarrival times to a single-server system are exponential, but when n customers are present, there is a probability n

n 1

that an arrival will balk and leave the system before entering service. Also assume exponential service times.

a Find the probability distribution of the number of people present in the steady state.

b Find the expected number of people present in the steady state. (Hint: The fact that

may be useful.)

Transcribed Image Text:

e* = 1 + x + 22 2! 3!