Which of the following is LEAST LIKELY to follow a Poisson process: arrival of p
ID: 447416 • Letter: W
Question
Which of the following is LEAST LIKELY to follow a Poisson process:
arrival of patients at the emergency ward of a hospital between 2:00 p.m. and 3:00 p.m.
arrival of hip replacement surgery patients in the operating room of a hospital between 2:00 p.m. and 3:00 p.m.
arrival of customers at a vending machine in a hospital hallway between 2:00 p.m. and 3:00 p.m.
arrival of cars at a parkade at a hospital between 2:00 p.m. and 3:00 p.m
a.arrival of patients at the emergency ward of a hospital between 2:00 p.m. and 3:00 p.m.
b.arrival of hip replacement surgery patients in the operating room of a hospital between 2:00 p.m. and 3:00 p.m.
c.arrival of customers at a vending machine in a hospital hallway between 2:00 p.m. and 3:00 p.m.
d.arrival of cars at a parkade at a hospital between 2:00 p.m. and 3:00 p.m
Explanation / Answer
Option b) arrival of hip replacement surgery patients in the operating room of a hospital between 2:00 p.m. and 3:00 p.m. is least likely to follow a poission process because the rate of arrival will not be constant during the period as hip replacement surgery is not very common event.
The Poisson distribution is based on four assumptions. The term interval to refer to either a time interval or an area, depending on the context of the problem.
In this case the most likely that assumption 3 will be violated so it will not follow the Poisson process.
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