Tim is wary of large crowds and won't approach the soda machine if there are five or more people at the machine. What percentage of the time does Tim forego a soda due to the large crowd?
The soda machine outside the lecture hall sees a steady stream of customers throughout the day. While the machine takes 4 seconds to deliver a can of carbonated sugar water once the button is pressed, the student customers introduce variation into the delivery process by pondering their selection for a while. Thus, we can safely say that the service time is governed by a negative exponential probability distribution that averages 10 seconds. Over the course of a twelve hour lecture day, students arrive at the rate of 240 per hour, Poisson distributed of course.
A) 30%
B) 20%
C) 13%
D) 9%
Answer: C
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