Trucks arrive at a receiving dock in a Poisson fashion at a mean rate of 2 per hour. The trucks can be unloaded at a mean rate of 3 per hour in a Poisson fashion (so long as the receiving dock is not empty). (a) What is the average number of trucks being unloaded and waiting to get unloaded? (b) What is the mean no of trucks in the queue? (c) What is the mean time a truck spends waiting in the queue?

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Trucks arrive at a receiving dock in a Poisson fashion at a mean rate of 2 per hour. The
trucks can be unloaded at a mean rate of 3 per hour in a Poisson fashion (so long as the
receiving dock is not empty).
(a) What is the average number of trucks being unloaded and waiting to get
unloaded?
(b) What is the mean no of trucks in the queue?
(c) What is the mean time a truck spends waiting in the queue?
Transcribed Image Text:Trucks arrive at a receiving dock in a Poisson fashion at a mean rate of 2 per hour. The trucks can be unloaded at a mean rate of 3 per hour in a Poisson fashion (so long as the receiving dock is not empty). (a) What is the average number of trucks being unloaded and waiting to get unloaded? (b) What is the mean no of trucks in the queue? (c) What is the mean time a truck spends waiting in the queue?
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