Question
The cafeteria line in the university student center is a self-serve facility in which students select the items they want and then form a single
The cafeteria line in the university student center is a self-serve facility in which students select the items they want and then form a single line to pay the cashier. Students arrive at a rate of about four per minute according to a Poisson distribution. The single cashier takes about 12 seconds per customer, following a negative exponential distribution.
A) The average number of students in the system is ____
students
B) A second cashier is added and works at the same pace. Assume customers wait in a single line and go to the first available cashier.
The probability that the two server system is empty is _____
C) The average waiting time for the two server system is _______
D) The average number of students in the queue for the two server system is
______
E) The average number of students in the two server system is _______
students
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started