the queueing characterstic as listerd below for thr MG1 model. show all your calculation and work. use the following formulas and calculate. thank you

Po=1-A/ L= L=L+X/ W = L/A 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 a =2 minutes. (b) Given that = 8 customers per hour, = 10 customers per hour and the standard deviation of the service time is given as a =2 minutes. (c) Given that = 8 customers per hour, = 12 customers per hour and assume that the service time is constant. (d) Given that A = 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 A = 0.01 customers per second, = 150 customers per hour and the standard deviation of the service time is given as a =300 seconds. X0 + (/) 2(1-A/)