Trucks come to a facility to pick up final goods for delivery to far-off markets. They must join a waiting line when they arrive and are served on an FCFS basis. Ten trucks come per hour, whereas fifteen trucks are loaded per hour. The fact that loading is exponentially distributed and arrivals are Poisson distributed are also a given. Transporters have expressed dissatisfaction about the approximately 12-hour wait time for their trucks at the factory. (A) Verify the validity of the complaint. (B) What is the probability that the loaders are idle?

Trucks come to a facility to pick up final goods for delivery to far-off markets. They must join a waiting line when they arrive and are served on an FCFS basis. Ten trucks come per hour, whereas fifteen trucks are loaded per hour. The fact that loading is exponentially distributed and arrivals are Poisson distributed are also a given. Transporters have expressed dissatisfaction about the approximately 12-hour wait time for their trucks at the factory. (A) Verify the validity of the complaint. (B) What is the probability that the loaders are idle?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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