A vaccination center has a waiting list of capacity of 40 people. Suppose that at each time step, there is a new person coming for a vaccine with a probability of p=1/20. If somebody is at the head of the queue, the probability of getting vaccinated and getting out of the waiting list in the next interval is q =1/15. If someone arrives in the waiting list and it is already full, they forget about their request and vacate back to their life as if nothing had happened. Question - What is the average number of people in the waiting list?

A vaccination center has a waiting list of capacity of 40 people. Suppose that at each time step, there is a new person coming for a vaccine with a probability of p=1/20. If somebody is at the head of the queue, the probability of getting vaccinated and getting out of the waiting list in the next interval is q =1/15. If someone arrives in the waiting list and it is already full, they forget about their request and vacate back to their life as if nothing had happened. Question - What is the average number of people in the waiting list?

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Description: A vaccination center has a waiting list of capacity of 40 people. Suppose that at each time step, there is a new person coming for a vaccine with a probability of p=1/20. If somebody is at the head of the queue, the probability of getting vaccinated

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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