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 idle is
A)0.20
B)0.60
C)0.80
D)1.00

Question

Quizplus · Accepted Answer

The probability that the server is idle is given by the formula 1 - (arrival rate/service rate). Here, the arrival rate is 28 customers per hour and the service rate is 35 customers per hour. Thus, the probability that the server is idle is 1 - (28/35) = 0.20.

Consider an Espresso Stand with a Single Barista