Questions1. Compute the midpoints for arrival and service times and apply it to construct the appropriate random number mappings for the random variables starting from 002. Simulate 15 customers arriving at the using the random numbers given below.3. What is the average time a customer waits for service? THIS IS NOT GRADED ASSIGNMENT, THIS IS PRACTICE FOR EXAMS Hint (midpoint for 60 to under 90= (60+90)/2=75 sec)CustomerInterarrival timeService Time1213 14 15Random Numbers To Be Used in the Simulation1 2 3 4 5 6 7 8 9 10 110.96 0.10.76 0.32 0.10.250.47 0.28 0.83 0.52 0.390.52 0.460.020.62 0.250.90.08 0.87 0.15 0.040.720.46 0.96 .00 0.27 0.73 0.760.110.68Use the following headings to complete the simulationTimeBetweenArrivalsCustomer RNWaitforArrival BeginTime Service serviceTimeinTime Service SystemRN Service End Persons arriving at a Caribbean rail ticket office during the morning peak commuter period frequentlyhave to wait for service. There is one clerk who issues tickets and provides an information service forpassengers. The Boss has received complaints regarding the time passengers spend in the queue waitingto be served, and she wishes to investigate possible methods of reducing the queueing time. Possibleideas include employing a second ticket clerk who could either share the work of the existing clerk orperhaps handle enquiries only. Another idea may be to collect fares on the train. The manager decidedto collect data on arrivals and service times over a number of days, and her figures are summarizedInter - arrival time (Secs)O to under 3030 to under 6060 to under 9090 to under 120Service time (secs)20 to under 3030 to under 4040 to under 5050 to under 6060 to under 90Frequency (%)5530105Frequency (%)1728252010

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Questions 1. Compute the midpoints for arrival and service times and apply it to construct the appropriate random number mappings for the random variables starting from 00 2. Simulate 15 customers arriving at the using the random numbers given below. 3. What is the average time a customer waits for service?

Questions 1. Compute the midpoints for arrival and service times and apply it to construct the appropriate random number mappings for the random variables starting from 00 2. Simulate 15 customers arriving at the using the random numbers given below. 3. What is the average time a customer waits for service?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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