(Solved): (5)Use the following formulas calculate the Queueing Characteristic as listed below for the MG1 mo ...

(5)Use the following formulas calculate the Queueing Characteristic as listed below for the MG1 model. Show all your work and calculation. Po=1-?/? Lg= = X'o² + (?/?)² 2(1 - ?/?¹) L=Lg+x/p W? = Lg/? W=W? + 1/? Pw=^/? (a) Given that ?= 5 customers per minute, ? = 8 customers per minute and the standard deviation of the service time is given as o =2 minutes. (b) Given that ? = 8 customers per hour, ? = 10 customers per hour and the standard deviation of the service time is given as o =2 minutes. (c) Given that ? = 8 customers per hour, ? = 12 customers per hour and assume that the service time is constant. (d) Given that ? = 6 customers per hour, ? = 0.15 customers per minute and the standard deviation of the service time is given as a =0.232 hours. (e) Given that ? = 0.01 customers per second, ? = 150 customers per hour and the standard deviation of the service time is given as o² =300 seconds.