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A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hour. Calculate the average number of customers in a system. Group of answer choices 3 2.33 4 2.25 1 1.25 1.75 2.50 3.50 1.50

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pedrocarratore

Answer:

3 customers

Step-by-step explanation:

Rate of arrival (λ) = 15 per hour

Service rate (μ) = 20 per hour

The number of customers in a system given the arrival rate and the mean service rate is given by:

[tex]N = \frac{\lambda}{\mu-\lambda}\\[/tex]

Applying the given data:

[tex]N = \frac{15}{20-5}\\N=3\ customers[/tex]

The average number of customers in the system is 3 customers.

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