Consider an automobile assembly line in which each car undergoes two types of service: painting, then engine installation. Each hour, an average of 22.4 unpainted chassis arrive at the assembly line. It takes an average of 2.4 minutes to paint a car and an average of 3.75 minutes to install an engine

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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Question

Consider an automobile assembly line in which each car undergoes two types
of service: painting, then engine installation. Each hour, an average of 22.4
unpainted chassis arrive at the assembly line. It takes an average of 2.4
minutes to paint a car and an average of 3.75 minutes to install an engine.
The assembly line has one painter ant two engine installers. Assume that
interarrival times and service times are exponential
a. On average, how many painted cars without completely installed engines
will be in the facility?
b. On average, how long will a painted car have to wait before installation of
its engine begins?

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