I ONLY NEED AN ANSWER TO THE MULTIPLE CHOICE QUESTION. Please only answer if you are 100% sure. Show work. Upvote or downvote based on correct or incorrect answer. Consider the situation in Exercise 2. point b). Which distribution does the time from you arrive until you advance on place in the queue (which is identical to the time until one of the customers currently being served moves out of the system) have? O Something else O Exponential distribution with expectation 2 O Exponential distribution with expectation 0.5 O Gamma distribution with a 4 and 8-1/4 Exercise 2: Suppose that the queue to be served at Idsø (a famous butcher in Stavanger) on a Saturday is a M/M/4 queue with arrival rate A = 1.5 per minute and expected service time of 1/7 = 2 minutes. When you arrive four persons are being served and 10 are waiting in line. a) Explain why the queue is stable. Would the queue still be stable if one of the four persons serving customers had to leave work? b) What is the expected waiting time until you start to get served? What is the expected waiting time until you are finished?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 61CR
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I ONLY NEED AN ANSWER TO THE MULTIPLE CHOICE QUESTION.
Please only answer if you are 100% sure. Show work. Upvote or downvote based on correct or incorrect
answer.
Consider the situation in Exercise 2, point b). Which distribution does the time from you arrive until
you advance on place in the queue (which is identical to the time until one of the customers
currently being served moves out of the system) have?
Something else
O Exponential distribution with expectation 2
Exponential distribution with expectation 0.5
O Gamma distribution with a = 4 and B = 1/4
Exercise 2:
Suppose that the queue to be served at Idsø (a famous butcher in Stavanger) on a
Saturday is a M/M/4 queue with arrival rate A = 1.5 per minute and expected service
time of 1/y = 2 minutes. When you arrive four persons are being served and 10 are
waiting in line.
a) Explain why the queue is stable. Would the queue still be stable if one of the four
persons serving customers had to leave work?
b) What is the expected waiting time until you start to get served? What is the expected
waiting time until you are finished?
Transcribed Image Text:I ONLY NEED AN ANSWER TO THE MULTIPLE CHOICE QUESTION. Please only answer if you are 100% sure. Show work. Upvote or downvote based on correct or incorrect answer. Consider the situation in Exercise 2, point b). Which distribution does the time from you arrive until you advance on place in the queue (which is identical to the time until one of the customers currently being served moves out of the system) have? Something else O Exponential distribution with expectation 2 Exponential distribution with expectation 0.5 O Gamma distribution with a = 4 and B = 1/4 Exercise 2: Suppose that the queue to be served at Idsø (a famous butcher in Stavanger) on a Saturday is a M/M/4 queue with arrival rate A = 1.5 per minute and expected service time of 1/y = 2 minutes. When you arrive four persons are being served and 10 are waiting in line. a) Explain why the queue is stable. Would the queue still be stable if one of the four persons serving customers had to leave work? b) What is the expected waiting time until you start to get served? What is the expected waiting time until you are finished?
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