Draw the birth and death process showing also $0,1,2,3$ customers until n customers: Potential customers arrive at a single$-$server station in accordance with a Poisson process with rate $\backslash$lambda $.$ However, if the arrival finds n customers already in the station, then he will enter the system with probability $\backslash$alpha n$.$ Assuming an exponential service rate $\backslash$mu $,$ set this up as a birth and death process and determine the birth and death rates.