An immigration agent at Pearson Airport in Toronto could on the average process 120 entrants during her 8 hours on duty if she was busy all the time. If the time to process each entrant is a random variable with an exponential distribution, a. What is the value of µ? b. What is the mean service time? c. What is the mean service rate?

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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An immigration agent at Pearson Airport in Toronto could on the average process 120 entrants
during her 8 hours on duty if she was busy all the time. If the time to process each entrant is a
random variable with an exponential distribution,
a. What is the value of µ?
b. What is the mean service time?
c. What is the mean service rate?
d. What is the probability that the service time is more than 4 minutes?
If on the average an entrant arrives at the immigration agent's station once every 6
minutes, what is the probability that the immigration agent will be idle?
Transcribed Image Text:An immigration agent at Pearson Airport in Toronto could on the average process 120 entrants during her 8 hours on duty if she was busy all the time. If the time to process each entrant is a random variable with an exponential distribution, a. What is the value of µ? b. What is the mean service time? c. What is the mean service rate? d. What is the probability that the service time is more than 4 minutes? If on the average an entrant arrives at the immigration agent's station once every 6 minutes, what is the probability that the immigration agent will be idle?
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