The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a mean of 7 people per hour. How many people do you expect to arrive during a 55-minute period?

Question

Gerardo Mcbride

Mathematics

28 March, 12:53

The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a mean of 7 people per hour. How many people do you expect to arrive during a 55-minute period?

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Answers (1)

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Parker Costa · Answer 1

I Expect 6.4167 persons arriving during a 55. minute period.

Step-by-step explanation:

If the mean in one hour (60 minutes) is 7, then in a 55 minute period you can expect, by using a rule of three, 7*55/60 = 6.4167 persons. This is because the amount of expected people is always proportional to the amount of time spent waiting for poisson distributions.