# Waiting line Model (M/M/1) Question

*label*Mathematics

*timer*Asked: Apr 19th, 2017

**Question description**

In a single channel automatic car wash, cars arrive

following Poisson distribution at the rate of 20 per hour. It

takes an average of 2 minutes to wash a car, and the

service time follows exponential distribution. Find the

following operating characteristics of the system (10

marks).