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vredina [299]
3 years ago
7

Movies Tonight is a typical video and DVD movie rental outlet for home-viewing customers. During the weeknight evenings, custome

rs 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
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

the probability having no customers are in the system is 0.375

Step-by-step explanation:

The computation of the probability having no customers are in the system is as follows;

Given that the arrival rate is 1.25 customers per minute

The Service rate is 2 customers per minute

Based on the above information, the probability is

=P_0\\\\=(1-\frac{\lambda }{\mu })\\\\=(1-\frac{1.25}{2})\\\\=1-0.625\\\\= 0.375

Hence, the probability having no customers are in the system is 0.375

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