Consider an espresso stand with a single barista.Customers arrive at the stand at the rate of 28 per hour according to a Poisson distribution.Service times are exponentially distributed with a service rate of 35 customers per hour.The probability that the server is busy is
A)0.20
B)0.60
C)0.80
D)1.00

Question

Quizplus · Accepted Answer

The probability that the server is busy, also known as the utilization factor (ρ), is calculated as the arrival rate (λ) divided by the service rate (μ). Here, λ = 28 customers/hour and μ = 35 customers/hour. So, ρ = 28/35 = 0.80.

Consider an Espresso Stand with a Single Barista