1) The inter arrival time at a counter is an exponential random variable with mean 10 minutes. The service time at the counter is also an exponential variable with mean 3 minutes. What is the probability that the counter is idle? The department will set up a second counter when the expected waiting time of a customer will be at least 3 minutes. What should be the average inter arrival time to justify a second counter?
1) The inter arrival time at a counter is an exponential random variable with mean 10 minutes. The service time at the counter is also an exponential variable with mean 3 minutes. What is the probability that the counter is idle? The department will set up a second counter when the expected waiting time of a customer will be at least 3 minutes. What should be the average inter arrival time to justify a second counter?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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