Question

Customers arrive at a single self-serve coffee machine in a busy mall at the rate of 30 per hour, following Poisson distribution. Each customer takes exactly 72 seconds to get his or her coffee. What is the expected number of customers in line at this coffee machine

Answer 1

Explanation:

The waiting line model explains that the utilization of the coffee machine or number of customers at any time is given as

ρ = (λ/μ)

λ = number of customers per hour = 30 customers per hour

μ = rate at which customers use the machine = (1 customer)/(72 seconds)

= [1 ÷ (72/3600)] customer per hour

= 1 ÷

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