Suppose that a fast-food restaurant uses two independent clerks (who worked in parallel) during the busy lunch hour. The time (in minutes) for an order to be taken and filled at the register i is an exponential random variable with rate Hi, i= 1, 2. Suppose both servers are busy when you arrive to the system, and you are the next person in line. (That is, there is a single waiting line, and you are the next person to be served when a clerk becomes available) hcbili c
Suppose that a fast-food restaurant uses two independent clerks (who worked in parallel) during the busy lunch hour. The time (in minutes) for an order to be taken and filled at the register i is an exponential random variable with rate Hi, i= 1, 2. Suppose both servers are busy when you arrive to the system, and you are the next person in line. (That is, there is a single waiting line, and you are the next person to be served when a clerk becomes available) hcbili c
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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Transcribed Image Text:Suppose that a fast-food restaurant uses two independent clerks (who worked in parallel) during the busy
lunch hour. The time (in minutes) for an order to be taken and filled at the register i is an exponential
random variable with rate Hi, i = 1, 2. Suppose both servers are busy when you arrive to the system, and
you are the next person in line. (That is, there is a single waiting line, and you are the next person to be
served when a clerk becomes available)
a) Find the probability that register 1 will be free in the next 3 minutes.
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