Homogeneous identical servers. ASSIGNMENTI P, =1-pwhere p=and c is the number of servers. W= (d- L= AW Question from last semester exnm on queulng Sals international Barbershop is a popular haircutting and styling salon near the campus of the university of New Orleans. Four Barbers work full-time and spend an average of 15 sminutes on each customer. Customers arrive all day long at an average rate of 12 par hour. When they enter, they talkea number to wat for the first avallable barber. Arrisals tend to folloer the Poisson distribution, and service times are exponentially distributed. Datermine the: a) Probability tihe shop is empty. b) Average numbor of customers in the barber shop. c) Average time spent in the shop. d) Average time that a customer spends waiting to be called to the barber chair. e) Average number waiting to be served. 9 Shop's utilization factor. e) Sal's is thinkdng of adding a fitch barber. How will this affect the utilization fector.