The number of people arriving for treatment at an emer- gency room can be modeled by a

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The number of people arriving for treatment at an emer- gency room can be modeled by a Poisson process with a rate parameter of five per hour.

a. What is the probability that exactly four arrivals occur during a particular hour?

b. What is the probability that at least four people arrive during a particular hour?

c. How many people do you expect to arrive during a 45- min period?

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