Consider a birth$-$death queuing system with the following arrival and service rates: X $($k $+2),$ k$>0$ ku$,$ k$>1$ uk $($a$)$ Obtain the state probabilities, Pk$,$ k $>0,$ of the system under equilibrium conditions, expressing your result in terms of $\backslash ,$ u or p$=/$u$.($b$)$ Find the mean number of customers $$ in the system. $($c$)$ What is the condition under which the system will have an equilibrium solution?