The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a mean of 4 people per hour. How many people do you expect to arrive during a 45-minute period?

Question

Laurel Hansen

Mathematics

29 January, 11:55

The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a mean of 4 people per hour. How many people do you expect to arrive during a 45-minute period?

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Moses · Answer 1

3 people

Step-by-step explanation:

The Poisson distribution is often used to model the number of times an event occurs in a specified time or interval.

It is given that on average 4 people arrive in one hour

How many people do you expect to arrive during a 45-minute period?

45 minutes corresponds to 3/4 or 0.75 of an hour

λ = E (X) = 4*0.75 = 3

Therefore, 3 people are expect to arrive during a 45-minute period.