please help , refer to the second pic(soloition for a similar assignment ) and plz answer it that way. thank you ,

"Show all work to get a chance for partial credit. 1. The mean time to admit an emergency patient to the Sutter Medical Center is 5 minutes with a standard deviation of 3 minutes. Only trauma patients are admitted to this center. Also, assume that the admission process is in fact the radiography process via an X-Ray machine. (a) What is the natural coefficient of variation for one patient? Co: (b) If the admission times of patients are independent, what will be the mean and variance of admitting a group of 50 emergency patients? What will be the coefficient of variation of a group of 50 emergency patients? to: 02: Co: (c) The X-Ray machine in the center may fail at any time randomly. The time to failure is exponentially distributed with a mean of 80 hours and the repair time is also exponentially distributed with a mean of 4 hour. What will be the effective mean and coefficient of variation of the admission time for a group of 50 trauma patients? t0: e2 ce: (d) Determine the variability class of the squared-coefficients of variation in Parts a-c (e.g., low variability, moderate variability, or high variability.) co02 (Part a): c02 (Part b): ce2( Part c): (e) In two sentences, describe how the manager of center can improve the inflated effective admission time in Part c? Show all work to get a chance for partial credit. 1. Consider a manufacturing line of four workstations and four machines. The machine in Workstation 2 has an average process time of 4 hours per job. The other machines are identical with an average process time of 2 hours. Answer the following questions with the assumption that the process times are deterministic and there is no variation: (a) What are the rb and T0 for the described manufacturing line? ri= The processing rate of Machine ith rt=0.5 parts per hour r2=0.25 parts per hour r3=0.5 parts per hour r4=0.5 parts per hour rb= Minimum {ri,r2,r3,rd}=r2=0.25 parts per hour To=2+4+2+2=10 hours rb:0.25 parts per hour T0:10 hours (b) Assume that we add an identical second machine to Workstation 2. What is the value of rb and T0 ? r1=0.5 parts per hour r2=0.5 parts per hour r3=0.5 parts per hour r4=0.5 parts per hour rb=Minimum{rb,r2,r1,rd}=0.5 parts per hour T0=2+4+2+2=10 hours rb:0.5 parts per hour T0:10 hours In maximum three sentences, explain the effect of adding that machine on the performance of the line: The bottleneck rate increases, but the raw process time remains the same. As a result, the throughput increases, and cycle time decreases when WIP is greater or equal than critical WIP (W0). (c) Assume that the single machine in Workstation 2 is speeded up. The new process time is 2 hours. What is the value of rb and T0 ? r3=0.5 parts per hour r2=0.5 parts per hour r3=0.5 parts per hour r4=0.5 parts per hour rb=Minimum{rt,r2,r3,rd}=0.5 part per hour T0=2+2+2+2=8 hours rb:0.5 parts per hour T0: s hours In maximum three sentences, explain the effect of that adjustment on the performance of the line: The bottleneck rate increases and the raw process time decreases. As a result, the throughput increases, and cycle time decreases for all level of WIP. (d) What will be the value of rb and T0 if we add an identical second machine to Workstation 1