d. Calculate the probability of four or more students being in line or being served. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) Answer is complete but not entirely correct. Probability 20.00

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Can you assist me with question 1 (question D)  I've made attempts to solve but still don't understand. Can you please write the process out step by step? It's easier to follow along. Thank you kindly

 

 

 

A study-aid desk staffed by a graduate student has been established to answer students' questions and help in working problems in
your OSCM course. The desk is staffed eight hours per day. The dean wants to know how the facility is working. Statistics show that
students arrive at a rate of four per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes,
distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS.
a. Calculate the percentage utilization of the graduate student. (Round your answer to 1 decimal place.)
Answer is complete and correct.
66.7
Utilization of the graduate student
b. Calculate the average number of students in the system, including the graduate student service desk.
Answer is complete and correct.
20
Average number of students
Transcribed Image Text:A study-aid desk staffed by a graduate student has been established to answer students' questions and help in working problems in your OSCM course. The desk is staffed eight hours per day. The dean wants to know how the facility is working. Statistics show that students arrive at a rate of four per hour and the distribution is approximately Poisson. Assistance time averages 10 minutes, distributed exponentially. Assume population and line length can be infinite and queue discipline is FCFS. a. Calculate the percentage utilization of the graduate student. (Round your answer to 1 decimal place.) Answer is complete and correct. 66.7 Utilization of the graduate student b. Calculate the average number of students in the system, including the graduate student service desk. Answer is complete and correct. 20 Average number of students
c. Calculate the average time in the system.
Answer is complete and correct.
minutes
Average time in the system
30
d. Calculate the probability of four or more students being in line or being served. (Round your intermediate calculations to 3 decimal
places and final answer to 1 decimal place.)
Answer is complete but not entirely correct.
Probability
20.0
Transcribed Image Text:c. Calculate the average time in the system. Answer is complete and correct. minutes Average time in the system 30 d. Calculate the probability of four or more students being in line or being served. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.) Answer is complete but not entirely correct. Probability 20.0
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