(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'o + (/) 2(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 o =300 seconds