ea View Resort uses a multiple-channel queue registration system. If the average service time is 8 minutes, there are three registration clerks, and guests arrive at the rate of one every 5 minutes, find a. λ and μ. b. the probability all three clerks are idle. c. the probability a guest will have to wait. d. the average time a customer is in line. e. the average number of customers in line

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 8 minutes, there are three registration clerks, and guests arrive at the rate of one every 5 minutes, find

a.

λ and μ.

b.

the probability all three clerks are idle.

c.

the probability a guest will have to wait.

d.

the average time a customer is in line.

e.

the average number of customers in line.

Please show a correct solution. Thank you. 

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