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In a credit application office, a single clerk processes all the activities shown in the figure below between 8 am and 4 pm. Overall process time assumed to follow an Exponential distribution. The details of each activity are given in the table below. A3 A2 A4 A5 A7 p1% p2% O A7 A1 O Application Application A6 arrived processed Activity Duration (sec.) Al: Check application form completeness 7 p1: Incomplete probability 40 % A2: Return application back to applicant 8 p2: Reassess eligibility probability 9 % A3: Receive updated application 8 A4: Check credit history A5: Assess loan risk 7 A6: Appraise property 28 A7: Assess eligibility 9 Applications are done online and the arrival of the applications follows Poisson Distribution with the parameters shown below: Time interval Arrival rate 8:00:-10:00 76 10:00-14:00 119 14:00-16:00 85 Use only decimal numbers with three digits after the decimal point (.): such as 0.333 or 0.200 or 10.976 or 10.000 etc. Do not use (,) for the decimal separator.a. What is the average service duration (CT or W)? Answer: sec For the options below, assume that in the previous part average CT = 38 sec. b. What is the average service rate per hour (H)? Answer: application c. What is the average arrival rate at each interval ()=customers/hour)? Time interval Arrival rate 8:00:-10:00 10:00-14:00 14:00-16:00 d. What is the average number of applications in the office at each time interval (WIP or L)? Answers: Time interval WIP 8:00:-10:00 10:00-14:00 14:00-16:00 e. What is the average time (sec.) in the queue at each time interval (Wq)? Answers: |Time interval Wq (sec) 8:00:-10:00 10:00-14:00 14:00-16:00