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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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