solution

he candy machine outside the lecture hall sees a steady stream of customers throughout the day. The service time is governed by a negative exponential probability distribution that averages 10 seconds. Over the course of a day, students arrive for candy at the rate of 240 per hour — Poisson distributed 1. Write down the service rate and arrival rate.

2. Calculate the following:

• How many students are waiting in front of the machine?

• How long does a student wait to be served with candy from the machine?

• What is the probability that the candy machine will be idle and a student will not have to wait?
 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"