Movies Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the weeknight evenings, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2 customers per minute. Assume Poisson arrivals and exponential service times. a. What is the probability that no customers are in the system? b. What is the average number of customers waiting for service? c. What is the probability that an arriving customer will have to wait for service? d. What is the probability that there are 5 customers in the system?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Movies Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the weeknight evenings, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2
customers per minute. Assume Poisson arrivals and exponential service times.

a. What is the probability that no customers are in the system?
b. What is the average number of customers waiting for service?
c. What is the probability that an arriving customer will have to wait for service?
d. What is the probability that there are 5 customers in the system?

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