Question

A bank is considering opening a drive-through window for customer service. Customers are estimated to arrive at the average rate of 15 per hour. The teller who works at the window can service customers at the average rate of one every three minutes. Assume Poisson arrivals and exponential service times. a. Find the average number of customers in the waiting line (waiting

Answer 1

Answer:

3

Step-by-step explanation:

Given that

λ = 15 per hour

μ =20 per hour

The average number of customer in the waiting line given by following formula

$L_{s}=\dfrac{\lambda ^2}{\mu (\mu -\lambda) }$

Now by putting the values

$L_{s}=\dfrac{15 ^2}{20 (20-15 ) }$

$L_{s}=2.25$

So we can say that on average 3  customers in the waiting line